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arxiv: 1904.09873 · v1 · pith:OEAVBKJ2new · submitted 2019-04-19 · 🧮 math.OA · math.FA· math.GR· math.RT

The C*-algebra of the semi-direct product K and A

classification 🧮 math.OA math.FAmath.GRmath.RT
keywords algebragroupcompactproductsemi-directabelianactingclasses
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Let $G=K\ltimes A$ be the semi-direct product group of a compact group $K$ acting on an abelian locally compact group $A$. We describe the $C^*$-algebra $C^*(G)$ of $G$ in terms of an algebra of operator fields defined over the spectrum of $G $, generalizing previous results obtained for some special classes of such groups.

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