Translation invariant sigma algebras on groups
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- by D. A. Lind PDF
- Proc. Amer. Math. Soc. 42 (1974), 218-221 Request permission
Abstract:
The translation invariant sigma subalgebras of the Baire sets of a locally compact abelian group are characterized as those periodic under some closed subgroup.References
- Roy L. Adler, Invariant and reducing subalgebras of measure preserving transformations, Trans. Amer. Math. Soc. 110 (1964), 350–360. MR 156941, DOI 10.1090/S0002-9947-1964-0156941-9
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- V. Rohlin, A “general” measure-preserving transformation is not mixing, Doklady Akad. Nauk SSSR (N.S.) 60 (1948), 349–351 (Russian). MR 0024503
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 218-221
- MSC: Primary 28A65; Secondary 22D40
- DOI: https://doi.org/10.1090/S0002-9939-1974-0325924-X
- MathSciNet review: 0325924