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

Xiaoman Chen, and Chengjun Hou. "Morita equivalence of groupoid C*-algebras arising from dynamical systems." Studia Mathematica 149.2 (2002): 121-132. <http://eudml.org/doc/284605>.

@article{XiaomanChen2002,
abstract = {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.},
author = {Xiaoman Chen, Chengjun Hou},
journal = {Studia Mathematica},
keywords = {Smale space; expanding map; Morita equivalent; Ruelle algebra; groupoid -algebra; -group; solenoid},
language = {eng},
number = {2},
pages = {121-132},
title = {Morita equivalence of groupoid C*-algebras arising from dynamical systems},
url = {http://eudml.org/doc/284605},
volume = {149},
year = {2002},
}

TY - JOUR
AU - Xiaoman Chen
AU - Chengjun Hou
TI - Morita equivalence of groupoid C*-algebras arising from dynamical systems
JO - Studia Mathematica
PY - 2002
VL - 149
IS - 2
SP - 121
EP - 132
AB - 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.
LA - eng
KW - Smale space; expanding map; Morita equivalent; Ruelle algebra; groupoid -algebra; -group; solenoid
UR - http://eudml.org/doc/284605
ER -