Asymptotic C∗‐Algebras from ℤk‐Actions on Higher Rank Graphs

Inhyeop Yi

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: For a dynamical system arising from ℤk‐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.

Date: 2013
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https://doi.org/10.1155/2013/752497

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:752497

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