-Algebras from Groupoids on Self-Similar Groups | Zendy

Inhyeop Yi | Zendy

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-Algebras from Groupoids on Self-Similar Groups

Author(s) -

Inhyeop Yi

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/579042

Subject(s) - mathematics , rank (graph theory) , trace (psycholinguistics) , pure mathematics , zero (linguistics) , algebra over a field , function (biology) , state (computer science) , combinatorics , philosophy , linguistics , algorithm , evolutionary biology , biology

We show that the Smale spaces from self-similar groups are topologically mixing and their stable algebra and stable Ruelle algebra are stronglyMorita 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 tracestate

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