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The \(\epsilon\)-free Rokhlin-Halmos property is not satisfied for the actions of the group \({\mathbb{Z}}^ 2\)

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Publication:1117054
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DOI10.1007/BF01159255zbMath0666.28008MaRDI QIDQ1117054

V. V. Ryzhikov

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

ergodic transformation\(\epsilon\)-free Rokhlin lemmameasure-preserving and totally ergodic action of \({\mathbb{Z}}^ 2\)


Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Entropy and other invariants (28D20)


Related Items (2)

MultiTowers, conjugacies and codes: Three theorems in Ergodic theory, one variation on Rokhlin’s Lemma ⋮ Rudolph’s two step coding theorem and Alpern’s lemma for ℝ^{𝕕} actions



Cites Work

  • An ε-free Rohlin lemma
  • Ergodic theory of amenable group actions. I: The Rohlin lemma


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