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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

The addition theorem for the entropy of transformations of $ G$-spaces


Author: R. K. Thomas
Journal: Trans. Amer. Math. Soc. 160 (1971), 119-130
MSC: Primary 28A65
DOI: https://doi.org/10.1090/S0002-9947-1971-0293064-6
MathSciNet review: 0293064
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Abstract: For a measure-preserving transformation $ T$ which is a skew-product of a measure-preserving transformation $ S$ and a topological group endomorphism $ \sigma $, it is shown that the entropy $ h$ satisfies the following ``addition theorem": $ h(T) = h(S) + h(\sigma )$.


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DOI: https://doi.org/10.1090/S0002-9947-1971-0293064-6
Keywords: Skew-product transformation, addition theorem, rigid groups
Article copyright: © Copyright 1971 American Mathematical Society

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