English

Isometric Actions and Finite Approximations

Dynamical Systems 2022-04-25 v4 Operator Algebras

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 isometric action by a finitely generated amenable group is residually finite.

Keywords

Cite

@article{arxiv.2103.10586,
  title  = {Isometric Actions and Finite Approximations},
  author = {Samantha Pilgrim},
  journal= {arXiv preprint arXiv:2103.10586},
  year   = {2022}
}

Comments

12 pages, comments welcome

R2 v1 2026-06-24T00:20:24.294Z