The isomorphism theorem for relatively finitely determined \(Z^ n\)- actions (Q913008)
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scientific article; zbMATH DE number 4146324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The isomorphism theorem for relatively finitely determined \(Z^ n\)- actions |
scientific article; zbMATH DE number 4146324 |
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The isomorphism theorem for relatively finitely determined \(Z^ n\)- actions (English)
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1990
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The following theorem is shown: Two \({\mathbb{Z}}^ n\)-actions which are relatively finitely determined with respect to isomorphic factors, are isomorphic relatively to these factors if and only if their entropies are equal. The proof uses methods from \textit{R. Burton} and \textit{A. Rothstein} [Isomorphism theorems in ergodic theory, unpublished notes].
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finitely determined isomorphism
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\({\mathbb{Z}}^ n\)-actions
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factors
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entropies
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