Ergodic automorphisms of \(T^\infty\) are Bernoulli transformations

DOI10.2977/PRIMS/1195192009zbMath0319.22007OpenAlexW1974257717MaRDI QIDQ1222736

Nobuo Aoki, Haruo Totoki

Publication date: 1975

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195192009

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory on groups (22D40)

Related Items (6)

Bernoullicity of solenoidal automorphisms and global fields ⋮ Almost block independence and Bernoullicity of \(\mathbb{Z}^ d\)-actions by automorphisms of compact Abelian groups ⋮ The existence of semi-horseshoes for partially hyperbolic diffeomorphisms ⋮ A simple proof of the Bernoullicity of ergodic automorphisms on compact Abelian groups ⋮ The structure of skew products with ergodic group automorphisms ⋮ On differentiation of integrals\cr in the infinite-dimensional torus

Cites Work

• Markov partitions and \(C\)-diffeomorphisms
• Bernoulli shifts with the same entropy are isomorphic
• On isomorphism of weak Bernoulli transformations
• Ergodic automorphisms of \(T^ n\) are Bernoulli shifts
• Two Bernoulli shifts with infinite entropy are isomorphic
• Factors of Bernoulli shifts are Bernoulli shifts
• Unnamed Item

This page was built for publication: Ergodic automorphisms of \(T^\infty\) are Bernoulli transformations