Bulletin of the Australian Mathematical Society

Research Article

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

Chengjun Houa1 and Xiamoman Chena2

a1 Department of mathematics, Qufu Normal University, qufu 273165, Shandong, People's Republic of China, e-mail: chjhou@etang.com

a2 Institute of Mathematics Fudan University, Shanghai 200433, People's Republic China, e-mail: xchen@ms.fudan.edu.cn

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.

(Received December 05 2000)