Weak amenability of right-angled Coxeter groups

Author:

Valette Alain

Abstract

We show that the representation-theoretic result of Januszkiewicz has an impact on harmonic analysis and operator algebras; more precisely, right-angled Coxeter groups are weakly amenable with Cowling-Haagerup constant 1 1 ; as a consequence, von Neumann algebras with Cowling-Haagerup constant > 1 > 1 are not embeddable into the von Neumann algebra of a right-angled Coxeter group.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

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5. A. Deutsch, Kazhdan’s property (T) and related properties of loally compact and discrete groups, Ph.D. thesis, Univ. of Edinburgh, 1992.

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