We show that the stable C*-algebra and the related Ruelle algebra defined by I. Putnam from the irreducible Smale space associated with a topologically mixing expanding map of a compact metric space are strongly Morita equivalent to the groupoid C*-algebras defined directly from the expanding map by C. Anantharaman-Delaroche and V. Deaconu. As an application, we calculate the K⁎-group of the Ruelle algebra for a solenoid.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm149-2-3,
author = {Xiaoman Chen and Chengjun Hou},
title = {Morita equivalence of groupoid C*-algebras arising from dynamical systems},
journal = {Studia Mathematica},
volume = {151},
year = {2002},
pages = {121-132},
zbl = {0989.46037},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm149-2-3}
}
Xiaoman Chen; Chengjun Hou. Morita equivalence of groupoid C*-algebras arising from dynamical systems. Studia Mathematica, Tome 151 (2002) pp. 121-132. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm149-2-3/