Free minimal actions of countable groups with invariant probability measures

Type: Article

Publication Date: 2020-02-20

Citations: 7

DOI: https://doi.org/10.1017/etds.2020.11

Abstract

We prove that for any countable group $\unicode[STIX]{x1D6E4}$ , there exists a free minimal continuous action $\unicode[STIX]{x1D6FC}:\unicode[STIX]{x1D6E4}\curvearrowright {\mathcal{C}}$ on the Cantor set admitting an invariant Borel probability measure.

Locations

  • Ergodic Theory and Dynamical Systems - View
  • arXiv (Cornell University) - View - PDF
  • Lancaster EPrints (Lancaster University) - View - PDF

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