\(\ell^2\)-homology of right-angled Coxeter groups based on barycentric subdivisions

DOI10.1016/j.topol.2003.07.008zbMath1094.57002OpenAlexW2162314426MaRDI QIDQ1882922

Boris L. Okun, Michael W. Davis

Publication date: 1 October 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2003.07.008

zbMATH Keywords

Coxeter groupsaspherical manifoldbarycentric subdivision\(\ell^{2}\)-homology\(\ell^{2}\)-Betti numbers

Mathematics Subject Classification ID

Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Exotic index theories on manifolds (58J22) Discontinuous groups of transformations (57S30) Other homology theories in algebraic topology (55N35)

Related Items (3)

Weighted \(L^2\)-cohomology of Coxeter groups based on barycentric subdivisons ⋮ The Atiyah conjecture and \(L^2\)-cohomology computations ⋮ Weighted \(L^2\)-cohomology of Coxeter groups.

Cites Work

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• The topology of isospectral manifolds of tridiagonal matrices
• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Some aspherical manifolds
• Vanishing theorems and conjectures for the 2-homology of right-angled Coxeter groups

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