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A note on the ideals of groupoid C*-algebras from Smale spaces

Published online by Cambridge University Press:  17 April 2009

Chengjun Hou  and
Xiamoman Chen
Chengjun Hou
Affiliation:
Department of mathematics, Qufu Normal University, qufu 273165, Shandong, People's Republic of China, e-mail: chjhou@etang.com
Xiamoman Chen
Affiliation:
Institute of Mathematics Fudan University, Shanghai 200433, People's Republic China, e-mail: xchen@ms.fudan.edu.cn
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In this note, we characterise completely the ideals of the groupoid C*-algebra arising from the asymptotic equivalence relation on the points of a Smale space and show that the related Ruelle algebra is simple when the Smale space is topologically transitive.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 2 , October 2001 , pp. 271 - 279
Copyright
Copyright © Australian Mathematical Society 2001

References

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