-Algebras from Groupoids on Self-Similar Groups

Inhyeop Yi

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

Abstract:

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 associated to a postcritically finite hyperbolic rational function is an AT -algebra of real-rank zero with a unique trace state.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:579042

DOI: 10.1155/2013/579042

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