Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 287-01. An isomorphism of the free group factors
Manuscript map · lines 8145–8154
OpenAI@2026-10-07#rem:oai-p-287-01
Authors: OpenAI. Family 287.
Title: An isomorphism of the free group factors.
Abstract: We solve the free group factor isomorphism problem affirmatively by proving that $L({}mathbb F_2)$ and $L({}mathbb F_3)$ are isomorphic as tracial von Neumann algebras. The classical free group factor alternative then implies that all interpolated free group factors, including $L({}mathbb F_{}infty)$, are isomorphic and have fundamental group ${}mathbb R_{{}gt 0}$.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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