The structure of C-algebras associated with hyperbolic dynamical systems

Ian F. Putnam, John Spielberg

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Abstract

We consider the stable, unstable C-algebras and the Ruelle algebras associated to a mixing Smale space. In the case of a shift of finite type, these are the AF-algebras studied by W. Krieger and the (stabilized) Cuntz-Krieger algebras. In the general case, we show that the stable and unstable algebras are simple and amenable. We also show that the Ruelle algebras are simple, amenable, and purely infinite.

Original languageEnglish (US)
Pages (from-to)279-299
Number of pages21
JournalJournal of Functional Analysis
Volume163
Issue number2
DOIs
StatePublished - Apr 20 1999

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ASJC Scopus subject areas

  • Analysis

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