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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Loosely Bernoulli Cartesian products

Author: Laif Swanson
Journal: Proc. Amer. Math. Soc. 73 (1979), 73-78
MSC: Primary 28D20
MathSciNet review: 512061
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Abstract | References | Similar Articles | Additional Information

Abstract: For any totally ergodic loosely Bernoulli automorphism T, a class $ \mathcal{S}(T)$ of loosely Bernoulli automorphisms is constructed. Each class $ \mathcal{S}(T)$ includes zero entropy automorphisms which do not have discrete spectrum, and has the property that for $ S \in \mathcal{S}(T)$, the Cartesian product $ T \times S$ is loosely Bernoulli.

References [Enhancements On Off] (What's this?)

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Additional Information

PII: S 0002-9939(1979)0512061-9
Keywords: Measure preserving transformations, induced automorphisms, loosely Bernoulli, entropy
Article copyright: © Copyright 1979 American Mathematical Society

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