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arXiv · 2505.09237

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

Paul Jolissaint
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Abstract

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.

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Paul Jolissaint. 2025-05-14. The Haagerup property for groups and for tracial von Neumann algebras in terms of invariant and mixing states. https://arxiv.org/abs/2505.09237

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