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Part of the book series: Advanced Courses in Mathematics - CRM Barcelona ((ACMBIRK))

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Abstract

The classical Rokhlin lemma, sometimes also called Kakutani{Rokhlin lemma, is a fundamental result in ergodic theory. It states that an aperiodic measurepreserving dynamical system can be decomposed into an arbitrarily high tower of measurable sets and a remainder of arbitrarily small measure.

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Sims, A., Szabó, G., Williams, D. (2020). Introduction. In: Perera, F. (eds) Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-39713-5_12

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