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

• Autorzy: Xiaoman Chen , Chengjun Hou
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 46L89: Other ``noncommutative'' mathematics based on C * -algebra theory
• 46L80: K -theory and operator algebras (including cyclic theory)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 149
• Numer: 2
• Strony: 121-132

Daty

wydano

2002

Twórcy

autor

Xiaoman Chen

• Institute of Mathematics, Fudan University, Shanghai, 200433, P.R. China

autor

Chengjun Hou

• Department of Mathematics, Qufu Normal University, Qufu, 273165, Shandong, P.R. China

Identyfikatory

DOI

10.4064/sm149-2-3