On the structure of C*-algebras associated with hyperbolic dynamical systems

Date

2010-01-08T22:04:44Z

Authors

Putnam, Ian F.
Spielberg, Jack

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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 the Ruelle algebras are simple, amenable and purely infinite.

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