Non-isomorphism of A^∗n,2≤n≤∞, for a non-separable abelian von Neumann algebra A

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2024年2月14日

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Rémi Boutonnet,
Daniel Drimbe,
Adrian Ioana,
Sorin Popa

摘要

We prove that if A is a non-separable abelian tracial von Neuman algebra then its free powers A^∗n,2≤n≤∞, are mutually non-isomorphic and with trivial fundamental group, $\mathcal{F}(A^{*n})=1$ , whenever 2≤n<∞. This settles the non-separable version of the free group factor problem.

Non-isomorphism of A∗n,2≤n≤∞, for a non-separable abelian von Neumann algebra A

摘要

Non-isomorphism of A^∗n,2≤n≤∞, for a non-separable abelian von Neumann algebra A