Weak amenability of Coxeter groups

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Let (G,S) be a Coxeter group. We construct a continuation, to the open unit disc, of the unitary representations associated to the positive definite functions g -> r^l(g). (Here 0<r<1, and l denotes the length function with respect to the generating set S.) The constructed representations are uniformly bounded and we prove that this implies the weak amenability of the group G.
LaTex, 19 pages

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Group Theory, Operator Algebras, Promary: 22D15 secondary: 46L99

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http://salesiana.dossiersoluciones.com/handle/123456789/63501

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203052
 http://arxiv.org/abs/math/0203052

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arXiv