Properly proximal groups and their von Neumann algebras

DOI10.24033/ASENS.2462OpenAlexW2891609201MaRDI QIDQ4994433

Rémi Boutonnet, Adrian Ioana, Jesse Peterson

Publication date: 18 June 2021

Published in: Annales Scientifiques de l'École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01881

zbMATH Keywords

Cartan subalgebrasproximalityhigher rank latticesbi-exact groupsclassification of \(\text{II}_1\)-factors

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (8)

An example of a non-amenable dynamical system which is boundary amenable ⋮ On invariant subalgebras of group and von Neumann algebras ⋮ Proper proximality in non-positive curvature ⋮ Measure equivalence rigidity via s-malleable deformations ⋮ An exotic \(\mathrm{II}_1\) factor without property Gamma ⋮ Properly proximal von Neumann algebras ⋮ First \(\ell^2\)-Betti numbers and proper proximality ⋮ Von Neumann equivalence and properly proximal groups

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