{
  "id": "0904.0881",
  "version": "v1",
  "published": "2009-04-06T09:47:50.000Z",
  "updated": "2009-04-06T09:47:50.000Z",
  "title": "Bicommutants of reduced unbounded operator algebras",
  "authors": [
    "F. Bagarello",
    "A. Inoue",
    "C. Trapani"
  ],
  "comment": "Proc. of the Amer. Math. Soc., in press",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The unbounded bicommutant $(\\mathfrak M_{E'})''$ of the {\\em reduction} of an O*-algebra $\\MM$ via a given projection $E'$ weakly commuting with $\\mathfrak M$ is studied, with the aim of finding conditions under which the reduction of a GW*-algebra is a GW*-algebra itself. The obtained results are applied to the problem of the existence of conditional expectations on O*-algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-06T09:47:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reduced unbounded operator algebras",
      "conditional expectations",
      "projection",
      "finding conditions",
      "unbounded bicommutant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.0881B"
    }
  }
}