Dual Entropy in Discrete Groups with Amenable Actions

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dc.creatorBrown, N. P.
dc.creatorGermain, E.
dc.date2000-10-12
dc.date.accessioned2026-07-07T04:37:59Z
dc.date.available2026-07-07T04:37:59Z
dc.descriptionWe 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.
dc.description22 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0010122
dc.identifierhttp://arxiv.org/abs/math/0010122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60110
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.subject46L55
dc.titleDual Entropy in Discrete Groups with Amenable Actions
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