Asymptotic -Algebras from -Actions on Higher Rank Graphs

Inhyeop Yi

Abstract and Applied Analysis, 2013, vol. 2013, 1-5

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:752497

DOI: 10.1155/2013/752497

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