Non Kazhdan's groups and a new approximation property for tracial von Neumann algebras

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1. Verfasser: Jolissaint, Paul
Format: Preprint
Veröffentlicht: 2024
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author Jolissaint, Paul
author_facet Jolissaint, Paul
contents We define a new approximation property for tracial von Neumann algebras, called \textit{weakly mixing approximation property} which, for discrete groups and II$_1$ factors, is equivalent to the negation of Kazhdan's property (T).
format Preprint
id arxiv_https___arxiv_org_abs_2410_06579
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Non Kazhdan's groups and a new approximation property for tracial von Neumann algebras
Jolissaint, Paul
Operator Algebras
Group Theory
46L10, 22D55
We define a new approximation property for tracial von Neumann algebras, called \textit{weakly mixing approximation property} which, for discrete groups and II$_1$ factors, is equivalent to the negation of Kazhdan's property (T).
title Non Kazhdan's groups and a new approximation property for tracial von Neumann algebras
topic Operator Algebras
Group Theory
46L10, 22D55
url https://arxiv.org/abs/2410.06579