Weak amenability of CAT(0) cubical groups
Operator Algebras
2007-05-23 v1 Group Theory
Abstract
We prove that if G is a discrete group that admits a metrically proper action on a finite-dimensional CAT(0) cube complex X, then G is weakly amenable. We do this by constructing uniformly bounded Hilbert space representations for which the quantities z^{l(g)} are matrix coefficients. Here l is a length function on G obtained from the combinatorial distance function on the complex X.
Keywords
Cite
@article{arxiv.math/0702568,
title = {Weak amenability of CAT(0) cubical groups},
author = {Nigel Higson and Erik Guentner},
journal= {arXiv preprint arXiv:math/0702568},
year = {2007}
}
Comments
22 pages