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Weak amenability of right-angled Coxeter groups


Author: Alain Valette
Journal: Proc. Amer. Math. Soc. 119 (1993), 1331-1334
MSC: Primary 46L99; Secondary 22D99, 43A30
DOI: https://doi.org/10.1090/S0002-9939-1993-1172955-8
MathSciNet review: 1172955
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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$; as a consequence, von Neumann algebras with Cowling-Haagerup constant $ > 1$ are not embeddable into the von Neumann algebra of a right-angled Coxeter group.


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DOI: https://doi.org/10.1090/S0002-9939-1993-1172955-8
Article copyright: © Copyright 1993 American Mathematical Society

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