The crossed-product structure of C*-algebras arising from topological dynamical systems
Operator Algebras
2011-06-02 v3
Abstract
We show that every topological k-graph constructed from a locally compact Hausdorff space {\Omega} and a family of pairwise commuting local homeomorphisms on {\Omega} satisfying a uniform boundedness condition on the cardinalities of inverse images may be realized as a semigroup crossed product in the sense of Larsen.
Keywords
Cite
@article{arxiv.1105.4526,
title = {The crossed-product structure of C*-algebras arising from topological dynamical systems},
author = {Cynthia Farthing and Nura Patani and Paulette N. Willis},
journal= {arXiv preprint arXiv:1105.4526},
year = {2011}
}
Comments
22 pages, 4 figures using TikZ. v3 has updated references