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math.GTNov 30, 1999
71
citations (OpenAlex)
authors
  • A. N. Dranishnikov
  • T. Januszkiewicz
arXiv abstractPDF
paper

Every Coxeter group acts amenably on a compact space

arXiv:math/9911245

Abstract

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

5 pages, AMSTeX

Cited by in corpus (22)

  • Hurewicz Theorem for Assouad-Nagata dimension
  • On asymptotic dimension of amalgamated products and right-angled Coxeter groups
  • Conjugacy classes and straight elements in Coxeter groups
  • Open subgroups of locally compact Kac-Moody groups
  • Algebraic K-theory of Geometric Groups
  • On constructions preserving the asymptotic topology of metric spaces
  • Proper actions on finite products of quasi-trees
  • On asymptotic dimension of groups acting on trees
  • An etale approach to the Novikov conjecture
  • HyperEuclidean manifolds and the Novikov Conjecture
  • Universal spaces for asymptotic dimension
  • Twin building lattices do not have asymptotic cut-points
  • Asymptotic properties of groups acting on complexes
  • On Large Scale Properties of Manifolds
  • Property (QT) for 3-manifold groups
  • Aperiodic colorings and tilings of Coxeter groups
  • Croke-Kleiner admissible groups: Property (QT) and quasiconvexity
  • Buildings have finite asymptotic dimension
  • Asymptotic dimension of proper CAT(0) spaces which are homeomorphic to the plane
  • Mapping class groups have finite asymptotic dimension
  • Toric heaps, cyclic reducibility, and conjugacy in Coxeter groups
  • Lp coarse Baum-Connes conjecture via C0​ coarse geometry
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