Every Coxeter group acts amenably on a compact space

1999/11/30 by Alexander Dranishnikov, A. N. Dranishnikov, Dranishnikov, A. N. +3 · 4 citations
Mathematics · #20H15 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GR #math.GT #msc:20H15

paper · pdf · doi:10.48550/arxiv.math/9911245

5 pages, AMSTeX

arxiv created 1999/11/30 · openalex publication_date 1999/11/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Coxeter groups admit amenable actions on compact spaces. Moreover, they have finite asymptotic dimension.

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• Boundary actions of CAT(0) spaces: topological freeness and applications to C^*-algebras
• Universal C^∗-Algebras from Graph Products: Structure and Applications
• Central extensions and proper actions on products of hyperbolic spaces
• On asymptotic dimension of groups acting on trees

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