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Mixing actions of zero entropy for countable amenable groups

Volume 145 / 2016

Alexandre I. Danilenko Colloquium Mathematicum 145 (2016), 179-186 MSC: 37A15, 37A25, 37A35. DOI: 10.4064/cm6776-1-2016 Published online: 20 May 2016

Abstract

It is shown that each discrete countable infinite amenable group admits a 0-entropy mixing free action on a standard probability space.

Authors

  • Alexandre I. DanilenkoB. Verkin Institute for Low Temperature Physics and Engineering
    National Academy of Sciences of Ukraine
    Prospekt Nauky 47
    Kharkiv, 61164, Ukraine
    e-mail

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