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

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 نشر من قبل Timothy Schroeder
 تاريخ النشر 2007
  مجال البحث
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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 $ell^2$-homology of Sigma vanishes in all but the middle dimension.



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