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

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, , whenever 2≤n<∞. This settles the non-separable version of the free group factor problem.

Bibliographic Details
Main Authors: Boutonnet, R, Drimbe, D, Ioana, A, Popa, S
Format: Journal article
Language:English
Published: Springer 2024