Actions of Z^k associated to higher rank graphs
Thu, Aug 1, 2002
University of Victoria, Victoria, Canada
Aperiodic Order, Dynamical Systems, Operator Algebras and Topology
We construct an action of on a compact zero-dimensional space obtained from a higher graph satisfying a mild assumption generalizing the construction of the Markov shift associated to a nonnegative integer matrix. The stable Ruelle algebra is shown to be strongly Morita equivalent to . Hence is simple, stable and purely infinite, if satisfies the aperiodicity condition.