# The $ell^2$-homology of even Coxeter groups - Mathematics > Geometric Topology

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Abstract: Given a Coxeter system W,S, there is an associated CW-complex, Sigma, onwhich W acts properly and cocompactly. We prove that when the nerve L of W,Sis a flag triangulation of the 3-sphere, then the reduced $\ell^2$-homology ofSigma vanishes in all but the middle dimension.

Autor: Timothy A. Schroeder University of Wisconsin-Milwaukee

Fuente: https://arxiv.org/