The $\ell^2$-homology of even Coxeter groups
Geometric Topology
2014-10-01 v2 Algebraic Topology
Group Theory
Abstract
Given a Coxeter system (W,S), there is an associated CW-complex, Sigma, on which W acts properly and cocompactly. We prove that when the nerve L of (W,S) is a flag triangulation of the 3-sphere, then the reduced -homology of Sigma vanishes in all but the middle dimension.
Cite
@article{arxiv.0707.1899,
title = {The $\ell^2$-homology of even Coxeter groups},
author = {Timothy A. Schroeder},
journal= {arXiv preprint arXiv:0707.1899},
year = {2014}
}
Comments
15 pages, 1 figure