The Haagerup property for groups and for tracial von Neumann algebras in terms of invariant and mixing states

Fuente: arXiv
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Autor principal: Jolissaint, Paul
Formato: Preprint
Publicado: 2025
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author Jolissaint, Paul
author_facet Jolissaint, Paul
contents The aim of the article is to provide characterizations of the Haage-rup property for locally compact, second countable groups in terms of approximations of some non-ergodic invariant states by mixing ones for actions on unital $C^*$-algebras one the one hand, and for pairs of tracial von Neumann algebras by mixing binormal states on the other hand.
format Preprint
id arxiv_https___arxiv_org_abs_2505_09237
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Haagerup property for groups and for tracial von Neumann algebras in terms of invariant and mixing states
Jolissaint, Paul
Group Theory
Operator Algebras
Primary 22D55, 46L55, 46L10, secondary 22D40
The aim of the article is to provide characterizations of the Haage-rup property for locally compact, second countable groups in terms of approximations of some non-ergodic invariant states by mixing ones for actions on unital $C^*$-algebras one the one hand, and for pairs of tracial von Neumann algebras by mixing binormal states on the other hand.
title The Haagerup property for groups and for tracial von Neumann algebras in terms of invariant and mixing states
topic Group Theory
Operator Algebras
Primary 22D55, 46L55, 46L10, secondary 22D40
url https://arxiv.org/abs/2505.09237