- Title
- A family of 2-graphs arising from two-dimensional subshifts
- Creator
- Pask, David; Raeburn, Iain; Weaver, Natasha A.
- Relation
- ARC
- Relation
- Ergodic Theory and Dynamical Systems Vol. 29, Issue 5, p. 1613-1639
- Publisher Link
- http://dx.doi.org/10.1017/S0143385708000795
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2009
- Description
- Higher-rank graphs (or k-graphs) were introduced by Kumjian and Pask to provide combinatorial models for the higher-rank Cuntz-Krieger C*-algebras of Robertson and Steger. Here we consider a family of finite 2-graphs whose path spaces are dynamical systems of algebraic origin, as studied by Schmidt and others. We analyse the C*-algebras of these 2-graphs, find criteria under which they are simple and purely infinite, and compute their K-theory. We find examples whose C*-algebras satisfy the hypotheses of the classification theorem of Kirchberg and Phillips, but are not isomorphic to the C*-algebras of ordinary directed graphs.
- Subject
- higher-rank graph; Cuntz-Krieger algebras; C*-algebras
- Identifier
- http://hdl.handle.net/1959.13/1057820
- Identifier
- uon:16275
- Identifier
- ISSN:0143-3857
- Language
- eng
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