{
  "id": "1605.04961",
  "version": "v1",
  "published": "2016-05-16T22:03:36.000Z",
  "updated": "2016-05-16T22:03:36.000Z",
  "title": "Twisted Pseudo-differential Operators on Type I Locally Compact Groups",
  "authors": [
    "H. Bustos",
    "M. Mantoiu"
  ],
  "comment": "21 pages",
  "categories": [
    "math.FA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Let $\\G$ be a locally compact group satisfying some technical requirements and $\\wG$ its unitary dual. Using the theory of twisted crossed product $C^*$-algebras, we develop a twisted global quantization for symbols defined on $\\G\\times\\wG$ and taking operator values. The emphasis is on the representation-theoretic aspect. For nilpotent Lie groups, the connection is made with a scalar quantization of the cotangent bundle $T^*(\\G)$ and with a Quantum Mechanical theory of observables in the presence of variable magnetic fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-16T22:03:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81S30",
      "47G30",
      "22D10",
      "22D25"
    ],
    "keywords": [
      "locally compact group",
      "twisted pseudo-differential operators",
      "nilpotent lie groups",
      "representation-theoretic aspect",
      "twisted global quantization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}