Asymptotic C* -algebras from ℤk -actions on higher rank graphs

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number752497
JournalAbstract and Applied Analysis
StatePublished - 2013


Dive into the research topics of 'Asymptotic C* -algebras from ℤk -actions on higher rank graphs'. Together they form a unique fingerprint.

Cite this