Algebra · Oct 6, 2026

Free group factor isomorphism

Resolves the free group factor isomorphism problem: L(F2)≅L(F3)L(\mathbb F_2)\cong L(\mathbb F_3), and hence all interpolated free group factors, including L(F∞)L(\mathbb F_\infty), are isomorphic. Their common factor has fundamental group R>0\mathbb R_{\gt 0}.

Scope and what remains

Source theorem and extensions have distinct scopes and proof dependencies.

Contributors

OpenAI source publisher and an unnamed unreleased internal model. Exact paper-level human roles are not disclosed by the family summary.

AI systems: Unreleased OpenAI model

Sources