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arXiv · 1302.5813

Some remarks on the entropy for algebraic actions of amenable groups

Nhan-Phu Chung·Andreas Thom
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Abstract

In this short note we study the entropy for algebraic actions of certain amenable groups. The possible values for this entropy are studied. Various fundamental results about certain classes of amenable groups are reproved using elementary arguments and the entropy invariant. We provide a natural decomposition of the entropy into summands contributed by individual primes and a summand corresponding to infinity. These results extend previous work by Lind and Ward on p-adic entropy.

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Nhan-Phu Chung, Andreas Thom. 2013-02-23. Some remarks on the entropy for algebraic actions of amenable groups. https://arxiv.org/abs/1302.5813

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