Ergodic Properties that Lift to Compact Group Extensions

DOI10.2307/2046032zbMath0636.28007OpenAlexW4252398297MaRDI QIDQ3775754

E. Arthur jun. Robinson

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046032

zbMATH Keywords

ergodic multiplier propertiesweakly mixing measure preserving transformationmildly mixingweakly mixing compact Abelian group extension

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants (28D20)

Related Items (3)

Actions of Cartan subgroups ⋮ A General Condition for Lifting Theorems ⋮ Unnamed Item

Cites Work

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• Classifying the isometric extensions of a Bernoulli shift
• Category theorems for some ergodic multiplier properties
• The structure of skew products with ergodic group automorphisms
• Ergodic affine transformations are loosely Bernoulli
• k-fold mixing lifts to weakly mixing isometric extensions
• Some Transformations Having a Unique Measure with Maximal Entropy
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
• Metric Properties of Transformations of G-Spaces
• Quasi-disjointness in ergodic theory
• Some Invariant σ-Algebras for Measure-Preserving Transformations

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