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

Title
Asymptotic C* -algebras from ℤk -actions on higher rank graphs
Authors
Yi I.
Ewha Authors
이인협
SCOPUS Author ID
이인협scopus
Issue Date
2013
Journal Title
Abstract and Applied Analysis
ISSN
1085-3375JCR Link
Citation
vol. 2013
Indexed
SCOPUS WOS scopus
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. © 2013 Inhyeop Yi.
DOI
10.1155/2013/752497
Appears in Collections:
사범대학 > 수학교육과 > Journal papers
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