The crossed-product structure of C*-algebras arising from topological dynamical systems
classification
🧮 math.OA
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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