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

Xiaoman Chen; Chengjun Hou

Studia Mathematica (2002)

  • Volume: 149, Issue: 2, page 121-132
  • ISSN: 0039-3223

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.