Geodesic
Morita equivalence of groupoid $C^*$-algebras arising from dynamical systems
Xiaoman Chen1 ; Chengjun Hou2
1Institute of Mathematics Fudan University Shanghai, 200433 P.R. China
2Department of Mathematics Qufu Normal University Qufu, 273165, Shandong P.R. China
Studia Mathematica, Tome 149 (2002) no. 2, pp. 121-132
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm149-2-3
Keywords: stable * algebra related ruelle algebra defined putnam irreducible smale space associated topologically mixing expanding map compact metric space strongly morita equivalent groupoid * algebras defined directly expanding map anantharaman delaroche deaconu application calculate * group ruelle algebra solenoid

Xiaoman Chen  1   ; Chengjun Hou  2

1 Institute of Mathematics Fudan University Shanghai, 200433 P.R. China
2 Department of Mathematics Qufu Normal University Qufu, 273165, Shandong P.R. China 
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Xiaoman Chen; Chengjun Hou. Morita equivalence of groupoid $C^*$-algebras arising
from dynamical systems. Studia Mathematica, Tome 149 (2002) no. 2, pp. 121-132. doi: 10.4064/sm149-2-3

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