{
  "id": "1708.07492",
  "version": "v1",
  "published": "2017-08-24T17:00:37.000Z",
  "updated": "2017-08-24T17:00:37.000Z",
  "title": "Tensor products of NCDL-C*-algebras and the C*-algebra of the Heisenberg motion groups",
  "authors": [
    "Hedi Regeibaand",
    "Jean Ludwig"
  ],
  "categories": [
    "math.GR"
  ],
  "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 $.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-24T17:00:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heisenberg motion groups",
      "tensor product",
      "operator fields",
      "conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}