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

Tom 149 / 2002

Xiaoman Chen, Chengjun Hou Studia Mathematica 149 (2002), 121-132 MSC: 46L05, 46L80, 46L89. DOI: 10.4064/sm149-2-3

Streszczenie

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.

Autorzy

  • Xiaoman ChenInstitute of Mathematics
    Fudan University
    Shanghai, 200433
    P.R. China
    e-mail
  • Chengjun HouDepartment of Mathematics
    Qufu Normal University
    Qufu, 273165, Shandong
    P.R. China
    e-mail

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