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Free minimal actions of countable groups with invariant probability measures

Published online by Cambridge University Press:  20 February 2020

GÁBOR ELEK*
Affiliation:
Department of Mathematics and Statistics, Fylde College, Lancaster University, Lancaster, LA1 4YF, UK email [email protected]

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.

Type
Original Article
Copyright
© The Author(s) 2020. Published by Cambridge University Press

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