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The Structure ofC*-Algebras Associated with Hyperbolic Dynamical Systems

โœ Scribed by Ian F Putnam; Jack Spielberg

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
162 KB
Volume
163
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

dedicated to marc rieffel on the occasion of his sixtieth birthday

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.

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