C∗-Algebras from Groupoids on Self-Similar Groups
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-27
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We show that the Smale spaces from self-similar groups are topologically mixing and their stable algebra and stable Ruelle algebra are strongly Morita equivalent to groupoid algebras of Anantharaman-Delaroche and Deaconu.
And we show that C∗(R∞) associated to a postcritically finite hyperbolic rational function is an AT-algebra of real-rank zero with a unique trace state.
American Psychological Association (APA)
Yi, Inhyeop. 2013. C∗-Algebras from Groupoids on Self-Similar Groups. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-482276
Modern Language Association (MLA)
Yi, Inhyeop. C∗-Algebras from Groupoids on Self-Similar Groups. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-482276
American Medical Association (AMA)
Yi, Inhyeop. C∗-Algebras from Groupoids on Self-Similar Groups. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-482276
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482276