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arXiv:0707.1899 [math.GT]AbstractReferencesReviewsResources

The $\ell^2$-homology of even Coxeter groups

Timothy A. Schroeder

Published 2007-07-12, updated 2007-07-18Version 2

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 $\ell^2$-homology of Sigma vanishes in all but the middle dimension.

Comments: 15 pages, 1 figure
Categories: math.GT, math.AT, math.GR
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