{
  "id": "0809.2206",
  "version": "v3",
  "published": "2008-09-12T12:57:53.000Z",
  "updated": "2008-11-17T08:49:27.000Z",
  "title": "Complete Positivity of Rieffel's Deformation Quantization by Actions of $\\mathbb{R}^d$",
  "authors": [
    "Daniel Kaschek",
    "Nikolai Neumaier",
    "Stefan Waldmann"
  ],
  "comment": "17 pages. New (more precise) title and other minor changes. Final version",
  "categories": [
    "math-ph",
    "astro-ph",
    "math.MP",
    "math.OA"
  ],
  "abstract": "In this paper we consider C*-algebraic deformations a la Rieffel and show that every state of the undeformed algebra can be deformed into a state of the deformed algebra in the sense of a continuous field of states. The construction is explicit and involves a convolution operator with a particular Gauss function.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-11-17T08:49:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D55",
      "46L87",
      "81R60",
      "46L65"
    ],
    "keywords": [
      "rieffels deformation quantization",
      "complete positivity",
      "gauss function",
      "convolution operator",
      "continuous field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.2206K"
    }
  }
}