Operator algebras·OpenAI Math·Result 287·Lean formalisation listed
Isomorphism of the free group factors
One of the 372 results in OpenAI's public mathematics catalogue, filed under operator algebras: 1 preprint, the latest dated 23 September 2026. This page quotes OpenAI's own summary of the claim, links the paper and abstract, and will embed the animation.
Latest paper
An isomorphism of the free group factors
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What OpenAI claims
Resolves the free group factor isomorphism problem: L(𝔽2) ≅ L(𝔽3), and hence all interpolated free group factors, including L(𝔽∞), are isomorphic. Their common factor has fundamental group ℝ> 0. (Lean)
Paper
An isomorphism of the free group factors
We solve the free group factor isomorphism problem affirmatively by proving that L(𝔽2) and L(𝔽3) are isomorphic as tracial von Neumann algebras. The classical free group factor alternative then implies that all interpolated free group factors, including L(𝔽∞), are isomorphic and have fundamental group ℝ> 0.
Status
Preprint. The paper has not been independently reviewed. Treat the result as OpenAI's claim until other mathematicians have checked it. If a video exists, it illustrates the statement; it is not the proof.
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