Author:
PASK DAVID,RAEBURN IAIN,WEAVER NATASHA A.
Abstract
AbstractHigher-rank graphs were introduced by Kumjian and Pask to provide models for higher-rank Cuntz–Krieger algebras. In a previous paper, we constructed 2-graphs whose path spaces are rank-two subshifts of finite type, and showed that this construction yields aperiodic 2-graphs whoseC*-algebras are simple and are not ordinary graph algebras. Here we show that the construction also gives a family of periodic 2-graphs which we calldomino graphs. We investigate the combinatorial structure of domino graphs, finding interesting points of contact with the existing combinatorial literature, and prove a structure theorem for theC*-algebras of domino graphs.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. Wavelets and Graph C ∗-Algebras;Excursions in Harmonic Analysis, Volume 5;2017
2. Separable representations, KMS states, and wavelets for higher-rank graphs;Journal of Mathematical Analysis and Applications;2016-02
3. BIPARTITE DIVISOR GRAPH FOR THE PRODUCT OF SUBSETS OF INTEGERS;Bulletin of the Australian Mathematical Society;2012-08-02