The ℓ²-homology of even Coxeter groups
Schroeder, Timothy A.
Original · EN
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 ℓ²-homology of Sigma vanishes in all but the middle dimension.
English translation
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