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arxiv: 1105.4526 · v3 · pith:CCN6XEP3new · submitted 2011-05-23 · 🧮 math.OA

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

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keywords omegatopologicalalgebrasarisingboundednesscardinalitiescommutingcompact
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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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