{
  "id": "math/0012125",
  "version": "v2",
  "published": "2000-12-15T12:54:56.000Z",
  "updated": "2000-12-19T10:24:46.000Z",
  "title": "Tensor products of C(X)-algebras over C(X)",
  "authors": [
    "Etienne Blanchard"
  ],
  "comment": "8 pages",
  "journal": "Ast'erisque 232 [1995], 81--92",
  "categories": [
    "math.OA"
  ],
  "abstract": "Given a Hausdorff compact space X, we study the C^*-(semi)-norms on the algebraic tensor product $A\\otimes_{alg,C(X)} B$ of two C(X)-algebras A and B over C(X). In particular, if one of the two C(X)-algebras defines a continuous field of C^*-algebras over X, there exist minimal and maximal C^*-norms on $A\\otimes_{alg,C(X)} B$ but there does not exist any C^*-norm on $A\\otimes_{alg,C(X)} B$ in general.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-12-19T10:24:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L05",
      "46M05"
    ],
    "keywords": [
      "hausdorff compact space",
      "algebraic tensor product",
      "continuous field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....12125B"
    }
  }
}