R. Boutonnet

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20122023

most citedW*-superrigidity of mixing Gaussian actions of rigid groups

1 citations · 1 across the 2 of their papers we have counts for

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math.OA2023

Non-isomorphism of $A^{* n}, 2 \leq n \leq \infty$ , 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 $A^{* n}, 2 \leq n \leq \infty$ , are mutually non-isomorphic and with trivial fundamen…

math.OA2018

Properly proximal groups and their von Neumann algebras

Rémi Boutonnet, Adrian Ioana, Jesse Peterson

We introduce a wide class of countable groups, called properly proximal, which contains all non-amenable bi-exact groups, all non-elementary convergence groups, and all lattices in…

math.OA2012★ 1 cited

W*-superrigidity of mixing Gaussian actions of rigid groups

Rémi Boutonnet

We generalize W*-superrigidity results about Bernoulli actions of rigid groups to general mixing Gaussian actions. We thus obtain the following: If Γ is any ICC group which is w-ri…

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

Properly proximal groups and their von Neumann algebras

W*-superrigidity of mixing Gaussian actions of rigid groups

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