JournalsggdVol. 11, No. 2pp. 567–583

Minimal models for actions of amenable groups

  • Bartosz Frej

    Wroclaw University of Science & Technology, Poland
  • Dawid Huczek

    Wrocław University of Science & Technology, Poland
Minimal models for actions of amenable groups cover
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Abstract

We prove that on a metrizable, compact, zero-dimensional space every free action of an amenable group is measurably isomorphic to a minimal GG-action with the same, i.e. affinely homeomorphic, simplex of measures.

Cite this article

Bartosz Frej, Dawid Huczek, Minimal models for actions of amenable groups. Groups Geom. Dyn. 11 (2017), no. 2, pp. 567–583

DOI 10.4171/GGD/408