Dual Entropy in Discrete Groups with Amenable Actions

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We introduce a notion of entropy for automorphisms of discrete groups which admit amenable actions on a compact space. This entropy is dual to classical topological entropy in the sense that if G is discrete and abelian then our notion of entropy agrees with the topological entropy of the induced automorphism on the (compact) dual group of G. We prove a number of basic properties of this dual entropy and give a few calculations. In particular, we are able to give precise calculations for arbitrary automorphisms of crystallographic groups.
22 pages, Latex

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Operator Algebras, Dynamical Systems, 46L55

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http://salesiana.dossiersoluciones.com/handle/123456789/60110

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0010122
 http://arxiv.org/abs/math/0010122

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arXiv