Dyadic equivalence to completely positive entropy

DOI10.1090/S0002-9947-98-02115-1zbMath0895.28008OpenAlexW1562874478MaRDI QIDQ4382958

Adam Fieldsteel, Julio-Roberto Hasfura-Buenaga

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02115-1

zbMATH Keywords

Kakutani equivalenceorbit equivalenceamenable group actionscompletely positive entropydyadic equivalence

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Entropy and other invariants (28D20) Ergodic theory (37A99)

Related Items (2)

Uniform Entropy Scalings of Filtrations ⋮ Bernoullis are standard when entropy is not an obstruction

Cites Work

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• The Shannon-McMillan-Breiman theorem for a class of amenable groups
• Every transformation is bilaterally deterministic
• Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli
• Ergodic flows of positive entropy can be time changed to become K-flows
• Residual behavior of induced maps
• Ergodic theory, entropy
• Restricted orbit equivalence
• Restricted orbit equivalence for ergodic ${\Bbb Z}^{d}$ actions I
• Restricted orbit changes of ergodic ℤ^d-actions to achieve mixing and completely positive entropy

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