Positive topological entropy and $\ell_1$

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dc.creatorKerr, David
dc.creatorLi, Hanfeng
dc.date2003-03-13
dc.date.accessioned2026-07-07T04:56:01Z
dc.date.available2026-07-07T04:56:01Z
dc.descriptionWe characterize positive topological entropy for quasi-state space homeomorphisms induced from $C^*$-algebra automorphisms in terms of dynamically generated subspaces isomorphic to $\ell_1$. This geometric condition is also used to give a description of the topological Pinsker algebra. In particular we obtain a geometric characterization of positive entropy for topological dynamical systems, as well as an analogue for completely positive topological entropy of Glasner and Weiss's combinatorial characterization of completely positive Kolmogorov-Sinai entropy.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0303161
dc.identifierhttp://arxiv.org/abs/math/0303161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66779
dc.subjectDynamical Systems
dc.subjectOperator Algebras
dc.titlePositive topological entropy and $\ell_1$
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