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2013 C -Algebras from Groupoids on Self-Similar Groups
Inhyeop Yi
Abstr. Appl. Anal. 2013(SI57): 1-7 (2013). DOI: 10.1155/2013/579042


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.


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Inhyeop Yi. " C -Algebras from Groupoids on Self-Similar Groups." Abstr. Appl. Anal. 2013 (SI57) 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1300.46051
MathSciNet: MR3093769
Digital Object Identifier: 10.1155/2013/579042

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI57 • 2013
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