Weak amenability of Coxeter groups
群论
2007-05-23 v1 算子代数
摘要
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.
引用
@article{arxiv.math/0203052,
title = {Weak amenability of Coxeter groups},
author = {Gero Fendler},
journal= {arXiv preprint arXiv:math/0203052},
year = {2007}
}
备注
LaTex, 19 pages