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Theℓ2–homology of even Coxeter groups
2009
Algebraic and Geometric Topology
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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 ℓ^2-homology of Sigma vanishes in all but the middle dimension.
doi:10.2140/agt.2009.9.1089
fatcat:ev72lmfi2jhh7aztfgstzqg6qy