Some invariant $\sigma$-algebras for measure-preserving transformations
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- Trans. Amer. Math. Soc. 163 (1972), 357-368 Request permission
Abstract:
For an invertible measure-preserving transformation $T$ of a Lebesgue measure space $(X,\mathcal {B},m)$ and a sequence $N$ of integers, a $T$-invariant partition ${\alpha _N}(T)$ of $(X,\mathcal {B},m)$ is defined. The relationship of these partitions to spectral properties of $T$ and entropy theory is discussed and the behaviour of the partitions ${\alpha _N}(T)$ under group extensions is investigated. Several examples are discussed.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 163 (1972), 357-368
- MSC: Primary 28A65
- DOI: https://doi.org/10.1090/S0002-9947-1972-0291413-7
- MathSciNet review: 0291413