What was already known
Characteristic-zero and sofic-group direct-finiteness theorems do not settle arbitrary positive-characteristic group algebras. The target is failure of the reverse inverse identity under the stated restrictions.
What changed and why it matters
Refutes the stated positive-characteristic direct-finiteness target even for a torsion-free finitely presented group.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
This entry covers the torsion-free two-element-field construction. Other characteristic, determinant, or cellular-automaton companions are not separate records here. Preprint. This is a source-statement and significance assessment, not a proof audit. No independent checking or successful formal compilation is asserted by this entry.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The publisher reports the scoped result. AIProofWatch has not independently validated its correctness.
Accessible artifact / proof
The original written argument is accessible. Availability does not establish a successful proof check or Lean verification.
Correction and publication history
Historical report added after statement, scope, and importance review. No proof audit or formal checking asserted; subscriber alerts disabled.
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