The second centralizer of a Bernoulli shift is just its powers

DOI10.1007/BF02762006zbMath0375.28006MaRDI QIDQ1246054

Daniel J. Rudolph

Publication date: 1978

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items (9)

Informal research statement ⋮ \(\mathrm{W}^*\)-rigidity paradigms for embeddings of \(\mathrm{II}_1\) factors ⋮ Measure concentration and the weak Pinsker property ⋮ Rank-one ℤ^d actions and directional entropy ⋮ The joinings within a class of \({\mathbb{Z}{}}^ 2\)-actions ⋮ Fusion: a general framework for hierarchical tilings of \(\mathbb{R }^d\) ⋮ Unnamed Item ⋮ Entropy and the uniform mean ergodic theorem for a family of sets ⋮ K-property for Maharam extensions of non-singular Bernoulli and Markov shifts

Cites Work

• Factors of Bernoulli shifts
• A mixing transformation for which Pinsker's conjecture fails
• The isomorphism theorem for Bernoulli flows

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