The crossed-product structure of C*-algebras arising from topological dynamical systems

Abstract

We show that every topological k-graph constructed from a locally compact Hausdorff space Ω and a family of pairwise commuting local homeomorphisms on Ω satisfying a uniform boundedness condition on the cardinalities of inverse images may be realized as a semigroup crossed product in the sense of Larsen.

22 pages, 4 figures using TikZ. v3 has updated references