Even Kakutani equivalence and the loose block independence property for positive entropy \(\mathbb{Z}^d\) actions (Q5954284)
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scientific article; zbMATH DE number 1699469
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Even Kakutani equivalence and the loose block independence property for positive entropy \(\mathbb{Z}^d\) actions |
scientific article; zbMATH DE number 1699469 |
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Even Kakutani equivalence and the loose block independence property for positive entropy \(\mathbb{Z}^d\) actions (English)
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14 February 2002
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The authors deal with the even Kakutani equivalence and introduce the \(f\)-block independence property, and discuss its connection to zero entropy loosely Bernoulli actions. They prove that the \(\overline{f}\)-finitely determined actions are exactly the loose block independent ones. Moreover they provide their results giving examples of loose block independent actions.
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\(\mathbb{Z}^d\) action
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entropy
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ergodicity
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block independent
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Kakutani equivalence
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Bernoulli actions
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