{
  "id": "0804.2405",
  "version": "v3",
  "published": "2008-04-15T14:54:24.000Z",
  "updated": "2010-03-31T14:48:20.000Z",
  "title": "Galois objects and cocycle twisting for locally compact quantum groups",
  "authors": [
    "K. De Commer"
  ],
  "comment": "40 pages, to be published in the Journal of Operator Theory; this is a shortened version of the previous submission, whose results have been subsumed in our PhD thesis (available at http://hdl.handle.net/1979/2662).",
  "journal": "Comm. Math. Phys. 304 (1) (2011), 187-228",
  "categories": [
    "math.OA",
    "math.QA"
  ],
  "abstract": "In this article, we investigate the notion of a Galois object for a locally compact quantum group M. Such an object consists of a von Neumann algebra N equipped with an ergodic integrable coaction of M on N, such that the crossed product is a type I factor. We show how to construct from such a coaction a new locally compact quantum group P, which we call the reflection of M along N. By way of application, we prove the following statement: any twisting of a locally compact quantum group by a unitary 2-cocycle is again a locally compact quantum group.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-03-31T14:48:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L65"
    ],
    "keywords": [
      "locally compact quantum group",
      "galois object",
      "cocycle twisting",
      "von neumann algebra",
      "object consists"
    ],
    "tags": [
      "dissertation",
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Ph.D. Thesis",
      "year": 2008,
      "month": "Apr"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhDT.......194D"
    }
  }
}