Asymptotic C*-Algebras from Z(k)-Actions on Higher Rank Graphs

作者：Yi Inhyeop^*

来源：Abstract and Applied Analysis, 2013, 2013: 752497.

DOI：10.1155/2013/752497

For a dynamical system arising from Z(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.

• 出版日期2013