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arXiv · 0707.1899

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

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

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Timothy A. Schroeder. 2007-07-18. The $\ell^2$-homology of even Coxeter groups. https://doi.org/10.2140/agt.2009.9.1089

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