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arXiv · 1904.09873

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

Hedi Regeiba·Jean Ludwig
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Abstract

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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Hedi Regeiba, Jean Ludwig. 2019-04-19. The C*-algebra of the semi-direct product K and A. https://arxiv.org/abs/1904.09873

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