Some remarks on the entropy for algebraic actions of amenable groups
نویسندگان
چکیده
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 ∞. These results extend previous work by Lind and Ward on p-adic entropy.
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تاریخ انتشار 2013