Entropy and induced dynamics on state spaces

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dc.creatorKerr, David
dc.date2003-02-11
dc.date2004-01-15
dc.date.accessioned2026-07-07T04:55:11Z
dc.date.available2026-07-07T04:55:11Z
dc.descriptionWe consider the topological entropy of state space and quasi-state space homeomorphisms induced from C*-algebra automorphisms. Our main result asserts that, for automorphisms of separable exact C*-algebras, zero Voiculescu-Brown entropy implies zero topological entropy on the quasi-state space (and also more generally on the entire unit ball of the dual). As an application we obtain a simple description of the topological Pinsker algebra in terms of local Voiculescu-Brown entropy.
dc.description16 pages; some revision; to appear in GAFA
dc.identifierhttps://arxiv.org/abs/math/0302118
dc.identifierhttp://arxiv.org/abs/math/0302118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66491
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.titleEntropy and induced dynamics on state spaces
dc.typetext

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