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arxiv: 1208.4488 · v1 · pith:2GTQC4G4new · submitted 2012-08-22 · 🧮 math.OA

Structure of crossed products by strictly proper actions on continuous-trace algebras

classification 🧮 math.OA
keywords crossedspectrumcontinuous-traceproductsproperstructureableacting
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We examine the ideal structure of crossed products B\rtimes G where B is a continuous-trace C*-algebra and the induced action of G on the spectrum of B is proper. In particular, we are able to obtain a concrete description of the topology on the spectrum of the crossed product in the cases where either G is discrete or G is a Lie group acting smoothly on the spectrum of B.

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