Asymptotic -Algebras from -Actions on Higher Rank Graphs | Zendy

Inhyeop Yi | Zendy

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Asymptotic -Algebras from -Actions on Higher Rank Graphs

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 - 10.1155/2013/752497

Subject(s) - mathematics , aperiodic graph , semidirect product , vertex (graph theory) , equivalence relation , graph , combinatorics , rank (graph theory) , pure mathematics , discrete mathematics , group (periodic table) , chemistry , organic chemistry

For a dynamical system arising from -action on a higher rank graph with finite vertex set, we show that the semidirect product of the asymptotic equivalence relation groupoid is essentially principal if and only if the -graph satisfies the aperiodic condition. Then we show that the corresponding asymptotic Ruelle algebra is simple if the graph is primitive with the aperiodic condition

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