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free minimal actions

Ergodic Theory and Dynamical Systems (1)

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Free minimal actions of countable groups with invariant probability measures
Part of
- Selfadjoint operator algebras
GÁBOR ELEK
Journal:

Ergodic Theory and Dynamical Systems / Volume 41 / Issue 5 / May 2021

Published online by Cambridge University Press:

20 February 2020, pp. 1369-1389

Print publication:

May 2021
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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.