Geodesic
Morita equivalence of groupoid $C^*$-algebras arising from dynamical systems
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
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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