TY - JOUR
T1 - The structure of C-algebras associated with hyperbolic dynamical systems
AU - Putnam, Ian F.
AU - Spielberg, John
N1 - Funding Information:
* Supported in part by an operating grant from NSERC, Canada. -Supported in part by a grant from NSF, U.S.A.
PY - 1999/4/20
Y1 - 1999/4/20
N2 - 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.
AB - 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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U2 - 10.1006/jfan.1998.3379
DO - 10.1006/jfan.1998.3379
M3 - Article
AN - SCOPUS:0033586558
SN - 0022-1236
VL - 163
SP - 279
EP - 299
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -