Entropy and induced dynamics on state spaces

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We 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.
16 pages; some revision; to appear in GAFA

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Operator Algebras, Dynamical Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/66491

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302118
 http://arxiv.org/abs/math/0302118

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arXiv