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

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

2011-05-23

arxiv.org/abs/1105.4526v3

Mathematics

Operator Algebras

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

Scientific paper

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.

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