Isometric actions and finite approximations
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Published:2022-06-06
Issue:
Volume:
Page:1-7
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ISSN:0143-3857
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Container-title:Ergodic Theory and Dynamical Systems
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language:en
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Short-container-title:Ergod. Th. Dynam. Sys.
Abstract
Abstract
We show that every isometric action on a Cantor set is conjugate to an inverse limit of actions on finite sets; and that every faithful isometric action by a finitely generated amenable group is residually finite.
Funder
National Science Foundation
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference9 articles.
1. C⁎-stability of discrete groups
2. Automata, dynamical systems, and groups;Grigorchuk;Proc. Steklov Inst. Math.,2000
3. Palindromic subshifts and simple periodic groups of intermediate growth
4. Groupes pleins-topologiques (d’après Matui, Juschenko, Monod,…);de Cornulier;Astérisque,2014
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