Every Coxeter group acts amenably on a compact space
A.N. Dranishnikov, T. Januszkiewicz

TL;DR
This paper demonstrates that all Coxeter groups can act amenably on compact spaces and possess finite asymptotic dimension, highlighting their geometric and analytical properties.
Contribution
It establishes the amenability of Coxeter groups' actions on compact spaces and confirms their finite asymptotic dimension, advancing understanding of their geometric group theory.
Findings
Coxeter groups admit amenable actions on compact spaces
Coxeter groups have finite asymptotic dimension
Provides new insights into the geometric properties of Coxeter groups
Abstract
Coxeter groups admit amenable actions on compact spaces. Moreover, they have finite asymptotic dimension.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research
