KING, Circuit Judge:
A secured creditor of a bankrupt corporation was sued by an unsecured creditor of the same corporation in state court and removed the claims against it to federal court, asserting that the claims were property of the bankruptcy estate and that the unsecured creditor had no right to assert them. The bankruptcy court agreed that the claims were property of the estate, denied the unsecured creditor’s motion to remand, and dismissed the claims. The district court affirmed on appeal. For the reasons that follow, we conclude that the claims are not property of the bankruptcy estate and must be remanded to state court.
I.
The appellants in this case, a group of investment funds (the “bondholders”), hold $30 million in unsecured notes issued by Seven Seas Petroleum, Inc., a Houston-based company that was forced into bankruptcy in December 2002. Seven Seas issued the notes as part of a $110 million debt offering in May 1998. The bondholders did not purchase the unsecured notes from Seven Seas; instead, they purchased the unsecured notes either in private transactions or on the secondary market at various times in 1999, 2000, and 2002.
Prior to its bankruptcy, Seven Seas explored and developed oil and gas properties in South America through the operations of its wholly-owned subsidiaries. To comply with certain SEC reporting requirements, Seven Seas engaged Ryder Scott Company, a reservoir-evaluation consulting firm, to provide reserve estimates calculated in accordance with the SEC’s “proved reserves” guidelines. These reserve estimates were incorporated into Seven Seas’ annual reports on Form 10-K beginning in 1998, when the company’s stock began trading on the American Stock Exchange, and were also included in the prospectus for the $110 million debt offering.
The reserve estimates prepared by Ryder Scott were important to the bondholders for two reasons. First, the bondholders claim to have relied on these estimates when deciding whether to invest in the unsecured notes. Second, Seven Seas’ ability to issue secured debt — which would be senior to the unsecured notes held by the bondholders — was tied to the reserve estimates. Specifically, under the terms of the unsecured notes, Seven Seas could not issue secured debt exceeding the greater of $25 million or the sum of cash on hand, certain receivables, and thirty percent of the discounted net present value of reserves.
Seven Seas did in fact issue $45 million in senior, secured notes in July 2001, shortly after it had reported reserves' of [579]*57947.9 million barrels of oil, -with a discounted value of just over $894 million, on its 10-K for the year ended December 31, 2000. Robert A. Hefner, III, the chairman and CEO of Seven Seas, led a group of investors that purchased half of the secured notes. This group included several of the company’s other directors. Chesapeake Energy Corporation, an Oklahoma-based independent oil and gas producer, purchased the remaining half of the notes. The collateral for the secured notes was substantially all of Seven Seas’ assets. In addition, the secured notes featured detachable warrants that gave the holders the right to purchase Seven Seas stock for $1.78 per share. These warrants represented options on 40% of the company’s common shares. Seven Seas planned to use the proceeds from the secured notes to fund an exploratory well in Colombia, as well as for other business operations.
Things did not go well for Seven Seas. By July 2002 it became apparent that the exploratory well in Colombia, which had reached a depth of almost 19,000 feet, was likely to be a failure. Shortly thereafter, Seven Seas announced that it was suspending further development of its shallow reserves. The following month, the company revised its reserve estimates downward to 16.3 million barrels — a 66% decrease from the figure reported in Seven Seas’ 10-K for the year ended December 31, 2001 — and took a substantial write-down to account for the diminished discounted value of this revised reserves figure. In September 2002, Seven Seas’ management informed representatives of investors in the unsecured notes that the company’s assets were worth $49 million, but that liabilities on the secured notes alone were $52 million. These events prompted a number of investors in the unsecured notes, including some of the bondholders, to file an involuntary Chapter 7 bankruptcy petition against Seven Seas in the Bankruptcy Court for the Southern District of Texas. Seven Seas converted the involuntary bankruptcy case to a Chapter 11 reorganization, and a trustee was appointed.
The trustee commenced an adversary proceeding against Chesapeake and the other holders of the secured notes on behalf of the Seven Seas bankruptcy estate. Among other things, the trustee sought to re-characterize the $45 million secured debt transaction as an equity contribution.1 The trustee also brought tort claims against Chesapeake, alleging, among other things, that it had breached duties that it owed to Seven Seas and interfered with management’s fiduciary duties.
The trustee’s first amended complaint in the adversary proceeding dropped most of the claims against Chesapeake (retaining only the claim seeking to re-characterize Chesapeake’s investment in the secured notes as an equity contribution), but added claims against Hefner and other Seven Seas directors for breach of various fiduciary duties. According to the trustee’s amended complaint, Hefner and the directors knew that Seven Seas was insolvent or of questionable solvency and ar[580]*580ranged to provide additional financing — in the form of the $45 million secured debt offering that they participated in along with Chesapeake — on terms that were highly advantageous for the holders of the secured notes but detrimental to the company and its other creditors. Since their $45 million investment was secured by substantially all the assets of the company, the holders of the secured notes faced little risk. However, they stood to profit tremendously if the exploratory well in Colombia proved to be a success, because the secured notes’ detachable warrants gave them the right to increase their equity stake in the company. For the company and its unsecured creditors, though, the $45 million secured debt transaction was a tremendously risky proposition: if the exploratory well turned out to be dry, the company would likely have to enter bankruptcy, and would have few, if any, assets available to satisfy the claims of unsecured creditors.
The trustee and Chesapeake eventually reached a settlement whereby Chesapeake agreed to give up some of its collateral in exchange for a complete release of claims by the Seven Seas bankruptcy estate. The settlement agreement was part of the trustee’s second amended reorganization plan, which was confirmed by the bankruptcy court in August 2003.2 Chesapeake was subsequently dismissed with prejudice from the adversary proceeding. The trustee continued to pursue claims against Hefner and the other directors on behalf of the estate in an action that is still pending in the district court.
Meanwhile, shortly after Seven Seas entered bankruptcy, the bondholders sued Ryder Scott in state court for negligent misrepresentation.3 They later added claims for fraud, violation of the Texas Securities Act, and aiding and abetting fraud. In support of the misrepresentation claim, the bondholders alleged that Ryder Scott owed them a duty to use reasonable care in calculating the reserve estimates, that Ryder Scott breached this duty, that the bondholders relied on the reserve estimates, and that, as a consequence, they lost almost all of their investment in the unsecured notes. Similarly, in support of the fraud claim, the bondholders alleged that they relied upon the reserve reports, which Ryder Scott knew to be false or to have been made with a reckless disregard for truth. The Texas Securities Act and aiding and abetting fraud claims charged that Ryder Scott had aided the commission of securities fraud and given substantial assistance in support of a fraudulent scheme, respectively.
Two months after the plan was confirmed in the Seven Seas bankruptcy case and Chesapeake was dismissed from the trustee’s adversary proceeding, the bondholders amended their state-court complaint to add Hefner and Chesapeake as defendants, bringing claims of conspiracy to defraud and aiding and abetting fraud against both. In their amended complaint, the bondholders made general allegations [581]*581regarding Ryder Scott’s role in calculating the reserve estimates, the bondholders’ reliance on the reserve estimates, the issuance of $45 million in secured notes, and the 66% downward revision in reserve estimates. With regard to the circumstances of the $45 million secured debt transaction, the picture that emerges from the bondholders’ amended complaint is similar to the one found in the trustee’s first amended complaint in the adversary proceeding, i.e., both complaints describe how the secured debt transaction was structured in a way that minimized the risk to the holders of the secured notes and yet gave them the means to capture the upside of the exploratory well in Colombia. In addition, the bondholders alleged that without the reserve estimates provided by Ryder Scott, the terms of the unsecured notes would have limited Seven Seas to issuing $25 million in secured debt.
Because they are the central focus of this appeal, we reproduce here, in pertinent part, the two claims asserted by the bondholders against Chesapeake. First, in a count labeled “Conspiracy to Defraud,” the bondholders charged that:
Chesapeake [ ], Hefner, and Seven Seas entered into a common plan, scheme or design to defraud investors in the [unsecured notes], including [the bondholders], by issuing and purchasing the [secured notes] ... in order to decrease the assets available to investors in the [unsecured notes]. Chesapeake [ ], Hefner and Seven Seas accomplished this fraud by employing the material misrepresentations and/or omissions contained in Ryder Scott’s reserve reports in order to induce potential investors and existing investors in [the unsecured notes] ... to either acquire interests in ... or to refrain from selling interests in [the unsecured notes], Chesapeake [] and Hefner knew that the misrepresentations and/or omissions contained in Ryder Scott’s reserve estimates were false or had been made with reckless disregard as to their truth.
Next, in a count labeled “Aiding And Abetting Fraud,” the bondholders charged that:
Chesapeake [] and Hefner and Ryder Scott are also liable for all damages caused by the aforementioned fraudulent schemes because each of these Defendants was aware the conduct by Seven Seas constituted a breach of duty and gave substantial assistance or encouragement to [] Seven Seas to continue with the scheme.
Chesapeake invoked the bankruptcy removal statute, 28 U.S.C. § 1452, to remove the claims against it to the District Court for the Southern District of Texas, asserting as the basis for bankruptcy jurisdiction that the claims were property of the Seven Seas bankruptcy estate and had been released through the confirmation of the plan in the bankruptcy proceeding.4 The [582]*582claims were eventually referred to the bankruptcy court, which entertained motions in an adversary proceeding. The bondholders moved to remand the case to state court, arguing, among other things, that the claims against Chesapeake belonged to the bondholders and were not property of the Seven Seas bankruptcy estate. Chesapeake filed a motion to dismiss the bondholders’ complaint, arguing that the claims were property of the estate, could only be brought by the trustee, and had been released in the plan. In the alternative, Chesapeake argued that principles of judicial estoppel barred the claims because the bondholders had initiated the involuntary bankruptcy proceedings against Seven Seas, controlled a creditors committee that supported the plan, and never objected to the plan’s release of claims against Chesapeake.5
The bankruptcy court held hearings and entered orders denying the bondholders’ motion to remand and dismissing the claims against Chesapeake. In a supporting memorandum opinion, the bankruptcy court determined that the claims asserted by the bondholders were property of the Seven Seas bankruptcy estate, reasoning that:
whether a claim is property of the estate depends on the nature of the injury and whether the debtor could have raised the claim under state law as of the commencement of the case. If Chesapeake and Hefner conspired to create claims with collateral rights senior to other creditors, then the harm is generalized to all creditors. Not only “could have” the Debtor raised the claims against Chesapeake, ... the Debtor did raise those claims [in the trustee’s adversary proceeding]. Therefore the claims against Chesapeake ... are property of the estate.
The bankruptcy court then concluded that it had subject matter jurisdiction over the case and that the motion to remand should be denied because the claims were property of the estate, and allowing them to proceed would, in effect, be a plan modification (since under the terms of the plan the estate’s claims against Chesapeake were released).
Turning to Chesapeake’s motion to dismiss, the bankruptcy court held that dismissal was appropriate because the bondholders did not have the right to assert claims belonging to the estate. In addition, after noting that the bondholders had participated in the bankruptcy proceeding [583]*583and benefitted from the estate’s release of claims against Chesapeake, the bankruptcy court stated that because the bondholders “represented ... that Chesapeake would be released from claims based on alleged misconduct that is essentially the same misconduct that” formed the basis for the bondholders’ state-court claims against Chesapeake, permitting them to sue Chesapeake “would ... be allowing [them] to play ‘fast and loose’ with the court.”
The bondholders appealed to the district court, which affirmed without explicitly concluding that the bondholders’ claims against Chesapeake were property of the estate. Rather, the district court recognized that the bankruptcy court had “brave[d] the quagmire” of deciding whether the claims were property of the estate, but determined that it “need not reach this issue because (1) subject-matter jurisdiction was satisfied through [the bondholders’] attempt to subvert the Plan, and (2) the Bankruptcy Court permissibly enforced the Plan’s release against [the bondholders] through equitable principles.” Specifically, the district court found that the bankruptcy court had subject matter jurisdiction because the bondholders, in suing Chesapeake, “were effectively seeking to have the state court invalidate the Plan’s release ... and settlement” of claims against Chesapeake. It then concluded that es-toppel principles barred the bondholders’ claims against Chesapeake, reasoning that it was inconsistent for the bondholders to sue Chesapeake after they had initiated the bankruptcy case, approved the plan and its release of Chesapeake, and “represented to the Bankruptcy Court that they were releasing Chesapeake from its alleged misconduct.” The bondholders filed timely notice of appeal.
II.
“Bankruptcy court rulings and decisions are reviewed by a court of appeals under the same standards employed by the district court hearing the appeal from bankruptcy court; conclusions of law are reviewed de novo, findings of fact are reviewed for clear error, and mixed questions of fact and law are reviewed de novo.” Century Indem. Co. v. Nat’l Gypsum Co. Settlement Trust (In re Nat’l Gypsum Co.), 208 F.3d 498, 504 (5th Cir.2000) (citing Traina v. Whitney Nat’l Bank, 109 F.3d 244, 246 (5th Cir.1997)). The bankruptcy court’s finding that it had subject matter jurisdiction is a legal determination that we review de novo. U.S. Brass Corp. v. Travelers Ins. Group (In re U.S. Brass Corp.), 301 F.3d 296, 303 (5th Cir.2002). Whether a specific cause of action belongs to a bankruptcy estate is likewise a matter of law that we decide by reference to the facial allegations in the complaint. Schertz-Cibolo-Universal City, Indep. School District v. Wright (In re Educators Group Health Trust), 25 F.3d 1281, 1285 (5th Cir.1994).
III.
The bondholders challenge the bankruptcy court’s denial of their motion to remand as well as its dismissal of their claims against Chesapeake. Since the bankruptcy court primarily rested both of these decisions on its determination that the claims against Chesapeake belong to the Seven Seas bankruptcy estate, resolution of this appeal largely turns on the question whether the claims are property of the estate or the bondholders. If the claims belong to the estate, then it was not error for the bankruptcy court to deny remand (because it has jurisdiction over all property of the estate) and dismiss the claims (because the trustee has exclusive standing to assert claims belonging to the estate).
[584]*584A.
The filing of a bankruptcy petition creates an estate that is comprised of, among other things, “all legal or equitable interests of the debtor in property as of the commencement of the case.” 11 U.S.C. § 541(a)(1). The phrase “all legal or equitable interests of the debtor in property” has been construed broadly, and includes “rights of action” such as claims based on state or federal law. See Am. Nat’l Bank of Austin v. MortgageAmerica Corp. (In re MortgageAmerica Corp.), 714 F.2d 1266, 1274 (5th Cir.1983); In re Educators Group Health Trust, 25 F.3d at 1283. If a claim belongs to the estate, then the bankruptcy trustee has exclusive standing to assert it. In re Educators Group Health Trust, 25 F.3d at 1284. However, the trustee has no right to bring claims that belong solely to the estate’s creditors. See Caplin v. Marine Midland Grace Trust Co., 406 U.S. 416, 92 S.Ct. 1678, 32 L.Ed.2d 195 (1972).
Whether a particular state-law claim belongs to the bankruptcy estate depends on whether under applicable state law the debtor could have raised the claim as of the commencement of the case. In re Educators Group Health Trust, 25 F.3d at 1284 (citing S.I. Acquisition, Inc. v. Eastway Delivery Serv., Inc. (In re S.I. Acquisition), 817 F.2d 1142 (5th Cir.1987); In re MortgageAmerica, 714 F.2d at 1275-77). As part of this inquiry, we look to the nature of the injury for which relief is sought and consider the relationship between the debtor and the injury. Id. at 1284-85; see In re E.F. Hutton Sw. Props. II, Ltd., 103 B.R. 808, 812 (Bankr.N.D.Tex. 1989) (“The injury characterization analysis should be considered as an inseparable component of whether an action belongs to the [estate] or [creditor].”). “If a cause of action alleges only indirect harm to a creditor (i.e., an injury which derives from harm to the debtor), and the debtor could have raised a claim for its direct injury under the applicable law, then the cause of action belongs to the estate.” In re Educators Group Health Trust, 25 F.3d at 1284 (citations omitted). “Conversely, if the cause of action does not explicitly or implicitly allege harm to the debtor, then the cause of action could not have been asserted by the debtor as of the commencement of the case, and thus is not property of the estate.” Id.
Our decision in Educators Group Health Trust illustrates these principles. There, a group of school districts obtained health benefits for their teachers from Educators Group Health Trust (“EGHT”). Id. at 1283. When EGHT went bankrupt, the school districts sued the principals of EGHT’s third party-administrator on various theories, including mismanagement of EGHT and fraud. Id. We held that certain claims relating to the alleged mismanagement, such as claims that the principals of the third-party administrator negligently managed EGHT or conspired to make it insolvent, were property of the EGHT bankruptcy estate, reasoning that the claims alleged an injury to the school districts that derived from a direct injury to EGHT. Id. at 1285. However, we held that other claims, such as fraud, conspiracy to commit fraud, and misrepresentation, belonged solely to the school districts, id. at 1286, after explaining that:
We do agree ... with the plaintiff school districts’ contention that some of the causes of action allege a direct injury to themselves, which is not derivative of any harm to the debtor. For example, the plaintiff school districts allege ... that the defendants intentionally misrepresented to them the financial situation of EGHT, and that they materially relied on such representations to their detriment. To the extent that this cause of [585]*585action and others allege a direct injury to the plaintiff school districts, they belong to the plaintiff school districts and not the estate.
Id. at 1285.
B.
The bondholders contest the bankruptcy court’s determination that the claims are property of the estate by arguing that the claims could not have been brought by Seven Seas prior to the bankruptcy proceeding. They characterize the claims as arising out of a fraud, in which Chesapeake conspired or assisted, involving the reserve estimates. According to the bondholders, Seven Seas could not have brought claims based on the damages that they suffered as a result of their reliance on the false reserve estimates when they invested in the unsecured notes, as Seven Seas simply was not harmed by misrepresentations made to the bondholders to induce them to buy (or refrain from selling) the notes on the secondary market. Chesapeake counters that the harm complained of by the bondholders is strictly derivative or indirect because the issuance of the secured notes and the alleged conspiracy involving the reserve estimates were acts that contributed to Seven Seas’ subsequent lack of assets to repay its creditors. Nothing here is peculiar or personal to the bondholders, Chesapeake contends; instead, the claims as pled are common to all of Seven Seas’ unsecured creditors.
As a preliminary matter, we recognize that the bondholders and Chesapeake are linked in a variety of ways to Seven Seas and the bankruptcy proceeding. Both Chesapeake and the bondholders are creditors of Seven Seas, and the bondholders’ claims against Chesapeake ultimately arise from the fact that the bondholders invested in the unsecured notes issued by Seven Seas. However, the existence of common parties and shared facts between the bankruptcy and the bondholders’ suit does not necessarily mean that the claims asserted by the bondholders are property of the estate. Indeed, as Educators Group Health Trust demonstrates, it is entirely possible for a bankruptcy estate and a creditor to own separate claims against a third party arising out of the same general series of events and broad course of conduct. See also Feld v. Zale Corp. (In re Zale Corp.), 62 F.3d 746, 753 (5th Cir.1995) (“Shared facts between the third-party action and a debtor-creditor conflict do not in and of themselves suffice to make the third-party action ‘related to’ the bankruptcy [for purposes of finding bankruptcy jurisdiction].”). We turn our focus, then, to the specific claims at issue here.
Having examined the claims asserted by the bondholders against Chesapeake, we warn that it is somewhat difficult to discern the precise theory of recovery they advance. But as we discuss below, whether the claims will ultimately prove to be legally or factually valid is not our concern. The narrow question before us is whether the claims belong to the estate or to the bondholders. Answering this question requires that we apply the principles discussed above — namely, we consider whether under state law Seven Seas could have raised the claims as of the commencement of the bankruptcy, and examine the nature of the injury for which relief is sought.
Taking this latter point first, we think that the claims allege more than an injury that is merely derivative of an injury to Seven Seas. For example, the conspiracy to defraud claim alleges that Chesapeake “knew that the misrepresentations and/or omissions contained in Ryder Scott’s reserve estimates were false or had been made with reckless disregard as to their truth,” and that Chesapeake, Hefner, and [586]*586Seven Seas “employ[ed] the material misrepresentations and/or omissions ... in order to induce potential investors and existing investors in [the unsecured notes] ... to either acquire interests in ... or to refrain from selling interests in [the unsecured notes].” If Chesapeake knew that the reserve estimates were false and used them to induce the bondholders to purchase or refrain from selling the unsecured notes, then there was a direct injury to the bondholders that was independent of any injury to Seven Seas. Indeed, we fail to see what direct injury Seven Seas might have suffered on account of the specific wrongdoing that the bondholders complain of here. Although Seven Seas is not named as a defendant, the bondholders’ theory is that Seven Seas itself was a wrongdoer, in conjunction with Chesapeake and Hefner. It is thus not surprising that the injury that this claim alleges is not derivative of an injury to Seven Seas.
Similarly, the bondholders state in their aiding and abetting fraud claim that Chesapeake is “liable for all damages caused by the aforementioned fraudulent schemes because [it] was aware the conduct by Seven Seas constituted a breach of duty and gave substantial assistance or encouragement to [ ] Seven Seas to continue with the scheme.” Presumably the “aforementioned fraudulent schemes” that the bondholders refer to in this claim relate to the publishing of false reserve estimates; elsewhere the bondholders allege that they “relied upon the material misrepresentations and omissions contained in reserve reports for [ ] Seven Seas,” and that their “reliance ... was the proximate cause of ... damages.” Thus, to the extent that the aiding and abetting fraud claim effectively seeks to hold Chesapeake liable for giving assistance to Seven Seas in publishing false reserve estimates that the bondholders relied on to their detriment, this claim too alleges a direct injury to the bondholders.
We also doubt that, under applicable state law, Seven Seas could have raised either claim as of the commencement of the bankruptcy case. Conspiracy to defraud essentially requires a showing of a common purpose to defraud, supported by a concerted action. See Schlumberger Well Surveying Corp. v. Nortex Oil & Gas Corp., 435 S.W.2d 854, 857 (Tex.1968). “But the gist of a civil conspiracy is the damage resulting from commission of a wrong which injures another, and not the conspiracy itself.” Id. at 856 (citations omitted). Here the underlying wrong is fraud in connection with the purchase of bonds in the secondary market, and Seven Seas would not have been in a position to assert the bondholders’ reliance on any alleged misrepresentations, or to claim to have suffered damages on account of such reliance, as would be necessary to state a claim based on the particular fraud that the bondholders complain of. See Stone v. Lawyers Title Ins. Corp., 554 S.W.2d 183, 185 (Tex.1977). The same is true for the aiding and abetting fraud claim.
We do recognize that the conspiracy to defraud claim contains an allegation that “Chesapeake [], Hefner, and Seven Seas entered into a common plan, scheme or design to defraud investors in the [unsecured notes], including [the bondholders], by issuing and purchasing the [secured notes] ... in order to decrease the assets available to investors in the [unsecured notes].” Chesapeake argues that this and similar statements elsewhere in the bondholders’ complaint show that any alleged wrongdoing on the part of Chesapeake caused direct injury only to Seven Seas, by impacting its ability to pay its creditors.6 [587]*587We disagree. This argument overlooks the bondholders’ inducement allegations, which, as described above, complain of an injury that is not merely derivative of an injury to Seven Seas.7
In sum, then, we believe that the claims brought by the bondholders allege an injury that is not merely derivative of an injury to Seven Seas, and that Seven Seas could not have asserted the claims as of the commencement of the bankruptcy case. That is not to say, of course, that Seven Seas might not also have suffered its own direct injury because of some wrongdoing on the part of Chesapeake, or could not have brought any claims against Chesapeake as of the commencement of the case. Indeed, the trustee did bring claims against Chesapeake on behalf of the estate, alleging, among other things, that Chesapeake breached duties that it owed to Seven Seas and interfered with management’s duties to Seven Seas. But the bondholders’ claims and the estate’s claims are not mutually exclusive: there is nothing illogical or contradictory about saying that Chesapeake might have inflicted direct injuries on both the bondholders and Seven Seas during the course of dealings that form the backdrop of both sets of claims. In the present posture of this case we are only dealing with allegations, and we must take them on their face. The claims asserted by the bondholders against Chesapeake allege an injury that is not merely derivative of an injury to Seven Seas, and could not have been brought by Seven Seas. We hold that these claims are not property of the Seven Seas bankruptcy estate.
It bears emphasizing that our holding here is a narrow one that in no way passes on the merits of the claims. It is not our place to consider whether the bondholders’ allegations are sufficient to state a cause of action under Texas law, or to speculate as to what set of facts might ultimately be proven in support of recovery. For this reason, several of the objections that Chesapeake raises against the claims — that the claims do not allege that the bondholders had any contractual privity with Chesapeake, or allege that Chesapeake owed the bondholders any legal duties, or explain how Chesapeake might have benefltted when the bondholders acquired interests in the unsecured notes— are largely irrelevant to the narrow issue before us. Simply put, the fact that the bondholders ultimately may be unable to [588]*588prevail on the claims does not render the claims property of the estate.
We also wish to dispel any notion that a claim belongs to the estate or is otherwise only assertable by the trustee merely because it could be brought by a number of creditors, instead of just one. Drawing on certain language found in Schimmelpenninck v. Byrne (In re Schimmelpenninck), 183 F.3d 347 (5th Cir.1999), Chesapeake suggests that the claims in this case allege a “generalized injury” or raise a “generalized grievance,” and that the trustee, rather than the bondholders, is therefore the appropriate party to advance them. In Schimmelpenninck, we considered whether a creditor’s alter ego and single business enterprise claims against a subsidiary of the debtor were subject to the automatic stay provisions of section 362 of the Bankruptcy Code. Id. at 350. The section 362(a)(3) stay applies to two types of claims: claims that belong to the debtor under applicable state (or federal) law, and claims that seek to recover property of the estate that is controlled by a person or entity other than the debt- or.8 See In re S.I. Acquisition, 817 F.2d at 1150. Before considering whether the claims asserted by the creditor in Schimmelpenninck fell into the second category of claims subject to the automatic stay, by reason of their seeking to recover property of the estate, we noted that:
It is in this perspective that the distinction between general and personal claims is both significant and consistent with the Bankruptcy Code. It is axiomatic that a trustee has the right to bring actions that will benefit the estate. Such claims can either be founded on the rights of the debtor or on the rights of the debtor’s creditors. If the right belongs to the debtor’s creditors, the distinction between personal and general claims takes on significance: A trustee can assert the general claims of creditors, but is precluded from asserting those creditor claims that are personal. In other words, even if a claim “belongs to” the creditor, the trustee is the proper party to assert the claim, for the benefit of all creditors, provided the claim advances a generalized grievance.
In re Schimmelpenninck, 183 F.3d at 359 (footnote omitted).
We agree with Judge Posner that labeling certain claims of creditors “personal”— as opposed to “general” — “is not an illuminating usage.” Steinberg v. Buczynski, 40 F.3d 890, 893 (7th Cir.1994). These terms are perhaps best understood as descriptions to be applied after a claim has been analyzed to determine whether it is properly assertable by the debtor or creditor, and not as a substitute for the analysis itself. As Judge Posner explains:
The point is simply that the trustee is confined to enforcing entitlements of the [debtor]. He has no right to enforce entitlements of a creditor. He represents the unsecured creditors of the [debtor]; and in that sense when he is suing on behalf of the [debtor] he is really suing on behalf of the creditors of the [debtor]. But there is a difference between a creditor’s interests in the claims of the [debtor] against a third party, which are enforced by the trustee, and the creditor’s own direct — not derivative — claim against the third party, which only the creditor ... can enforce.
[589]*589Id. The discussion of personal and general claims in Schimmelpenninck was not meant to work a change to this well-established rule, even when the claims at issue may be brought by a number of creditors instead of just one. Rather, our point was that some claims that are usually brought by creditors outside of bankruptcy (and thus in a sense may be said to “belong to” the creditors and not the debtor) are nonetheless vested exclusively in the trustee in bankruptcy. This is so not merely because the claims are common to a number of creditors, but because they ultimately seek to recover assets of the estate that are not under the debtor’s control — by reason of a fraudulent transfer,9 for instance, or because of the existence of separate corporate entities that are a sham. This much is made clear by our subsequent explanation that “[a]s not all claims necessarily ‘belong to’ the debtor — because either by statute or common law the debtor is precluded from asserting the action — another mechanism must exist to prevent individual creditors from annexing assets of the estate to gain an advantage.” In re Schimmelpenninck, 183 F.3d at 360. It is “[ajctions by individual creditors asserting a generalized injury to the debtor’s estate, which ultimately affects all creditors!]]” that can be said to raise a “generalized grievance,” not actions by creditors that are merely common to a number of them. Id. at 360 (emphasis added).
C.
Our conclusion that the claims brought by the bondholders are not property of the Seven Seas bankruptcy estate requires that the claims be remanded to state court for lack of jurisdiction unless we can identify some other basis for bankruptcy jurisdiction. As noted previously, the district court affirmed the denial of remand and dismissal of the clams but did not reach the issue of whether the claims belonged to the estate or the bondholders. It thus provided alternate grounds for those two decisions. First, it concluded that “subject matter jurisdiction was satisfied through [the bondholders’] attempt to subvert the Plan.” It then determined that equitable principles barred the bondholders’ claims against Chesapeake, based on aspects of the bondholders’ participation in the Seven Seas bankruptcy proceeding.
After a plan is confirmed, the bankruptcy court’s jurisdiction is limited to matters pertaining to the implementation or execution of the plan. Bank of La. v. Craig’s Stores of Tex., Inc. (In re Craig’s Stores of Tex., Inc.), 266 F.3d 388, 390 (5th Cir.2001). This jurisdiction extends to matters that “impact compliance with or completion of the reorganization plan.” In re U.S. Brass Corp., 301 F.3d at 305. The district court was thus correct in assuming that bankruptcy jurisdiction would exist over any claims that attempt to “subvert” a confirmed plan.
Nonetheless, we cannot accept the district court’s conclusion that the bondholders, in suing Chesapeake, “were effectively seeking to have the state court invalidate the Plan’s release ... and settlement” of claims against Chesapeake. The plan only purports to release claims against Chesapeake that are held by the estate. It does not release claims against Chesapeake that are held by third parties. [590]*590Indeed, it could not be otherwise. “ ‘While it is true that the bankruptcy court’s confirmation of the plan binds the debtor and all creditors vis-a-vis the debtor, it does not follow that a discharge in bankruptcy alters the right of a creditor to collect from third parties.’ ” In re Zale Corp., 62 F.3d at 760 n.44 (quoting First Fidelity Bank v. McAteer, 985 F.2d 114, 118 (3d Cir.1993)). Section 524 of the Bankruptcy Code limits the scope of a discharge in bankruptcy by providing that “discharge of any debt of the debtor does not affect the liability of any other entity on, or the property of any other entity for, such debt.” 11 U.S.C. § 524(e). This section “prohibits the discharge of debts of nondebtors.” In re Zale Corp., 62 F.3d at 760 (citations omitted). Since the plan only releases the estate’s claims against Chesapeake (as that was all it could release), the bondholders’ pursuit of their own claims against Chesapeake cannot be characterized as an attempt to invalidate the release contained in the plan, and jurisdiction is not available on this basis.
Furthermore, the estoppel principles discussed by the district court are insufficient to either confer jurisdiction on the bankruptcy court or justify dismissal of the bondholders’ claims. The district court reasoned that it was inconsistent for the bondholders to sue Chesapeake after they had initiated the bankruptcy case, approved the plan and its release of Chesapeake, and “represented to the Bankruptcy Court that they were releasing Chesapeake from its alleged misconduct.” Chesapeake makes similar points in its brief. First of all, we have come across no indication that the bondholders ever represented that they intended to release their claims against Chesapeake. That the bondholders’ claims and the estate’s claims may have arose out of the same series of events does not link them in such a way that the release of one set of claims acts as a release of the other.
More importantly, we disagree with the broader contention that, given the bondholders’ involvement in the bankruptcy proceeding, it would somehow be inequitable to allow them to sue Chesapeake. In fact, we think just the opposite: it would be inequitable to penalize creditors for their active participation in a bankruptcy proceeding by precluding them from asserting claims that they hold against a party that also has some liability to the estate. The bondholders served on the creditors committee and approved the plan’s release of claims against Chesapeake. We may even assume that they led the charge in calling for the commencement of an adversary proceeding against Chesapeake; after all, as unsecured creditors they stood to benefit if the estate obtained any recovery against Chesapeake or otherwise subordinated Chesapeake’s claims as a secured creditor. But these actions are not inconsistent with the bondholders’ pursuit of their own claims against Chesapeake. As unsecured creditors the bondholders were entitled to push for actions that would benefit the estate and remedy damages it suffered. They were also entitled to assert their own claims against a third party based on discrete wrongs that caused direct damages to them. We see nothing in equity that would justify a contrary result.
IV.
For the foregoing reasons, we VACATE the orders of the bankruptcy court denying remand and dismissing the bondholders’ claims, and REMAND this case to the bankruptcy court with instructions that it be remanded to state court. Costs shall be borne by Chesapeake.