A family of 2-graphs arising from two-dimensional subshifts

Authors

David Pask, University of WollongongFollow
Iain Raeburn, University of WollongongFollow
Natasha A. Weaver, University of Newcastle

RIS ID

29368

Publication Details

Pask, D., Raeburn, I. & Weaver, N. A. (2009). A family of 2-graphs arising from two-dimensional subshifts. Ergodic Theory and dynamical Systems, 29 (5), 1613-1639.

Abstract

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 Steiger. Here we consider a family of finite 2-graphs whose path spaces are dynamical systems of algebraic origin, as studied by Schmidt and others.