{
  "id": "0802.0292",
  "version": "v1",
  "published": "2008-02-03T19:56:12.000Z",
  "updated": "2008-02-03T19:56:12.000Z",
  "title": "An Elementary Proof of the Free-additivity of Voiculescu's Free Entropy",
  "authors": [
    "Don Hadwin",
    "Weihua Li",
    "Junhao Shen"
  ],
  "categories": [
    "math.OA"
  ],
  "abstract": "D. Voiculescu [2] proved that a standard family of independent random unitary k by k matrices and a constant k by k unitary matrix is asymtotically free as k goes to infinity. This result was a key ingredient in Voiculescu's proof [3] that his free entropy is additive when the variables are free. In this paper, we give a very elementary proof of a more detailed version of this result [2].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-03T19:56:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L10"
    ],
    "keywords": [
      "voiculescus free entropy",
      "elementary proof",
      "free-additivity",
      "independent random unitary",
      "unitary matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.0292H"
    }
  }
}