Non-isomorphism of $A^{\ast n},2\le n\le \infty$, for a non-separable abelian von Neumann algebra $A$

Rémi Boutonnet, Daniel Drimbe, Adrian Ioana +1

We prove that if $A$ is a non-separable abelian tracial von Neuman algebra then its free powers $A^{\ast n},2\le n\le \infty$, are mutually non-isomorphic and with trivial fundamen…