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arXiv · 1708.07492

Tensor products of NCDL-C*-algebras and the C*-algebra of the Heisenberg motion groups

Hedi Regeibaand·Jean Ludwig
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Abstract

We show that the tensor product $A\otimes B$ over $\mathbb{C}$ of two $C^* $-algebras satisfying the \textit{NCDL} conditions has again the same property. We use this result to describe the $C^* $-algebra of the Heisenberg motion groups $G_n = \mathbb{T}^n \ltimes \mathbb{H}_n$ as algebra of operator fields defined over the spectrum of $G_n $.

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Hedi Regeibaand, Jean Ludwig. 2017-08-24. Tensor products of NCDL-C*-algebras and the C*-algebra of the Heisenberg motion groups. https://arxiv.org/abs/1708.07492

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