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2013 Asymptotic C -Algebras from k -Actions on Higher Rank Graphs
Inhyeop Yi
Abstr. Appl. Anal. 2013(SI20): 1-5 (2013). DOI: 10.1155/2013/752497


For a dynamical system arising from k -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 k -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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Inhyeop Yi. "Asymptotic C -Algebras from k -Actions on Higher Rank Graphs." Abstr. Appl. Anal. 2013 (SI20) 1 - 5, 2013.


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

MathSciNet: MR3068868
Digital Object Identifier: 10.1155/2013/752497

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI20 • 2013
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