What was already known
Bass-type support results were known for various restricted group classes and for algebraic group rings; the ℓ¹ version additionally requires finite support for completed-algebra idempotents.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Resolves the ℓ¹-Bass conjecture for arbitrary discrete groups.
Limitations
The linked Lean scope checks Bass trace vanishing for the algebraic complex group ring C[G], not ℓ¹(G); it does not establish finite support for Banach-algebra idempotents.
Technical verification
OpenAI reports a Lean check of a narrower theorem, case, or component; the selected claim extends beyond that scope.
Formal checking
The pinned OpenAI Lean scope note verifies only this narrower statement, not the full selected claim.
- Checker
- OpenAI-reported Lean 4 / Comparator
- Scope
- For every group G, the Hattori–Stallings trace on finitely generated projective C[G]-modules vanishes on conjugacy classes of infinite-order elements.
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, prior-work, and precise partial or mismatched Lean-scope review for non-notifying local inclusion.
Read this published revision