{
  "id": "1302.3927",
  "version": "v1",
  "published": "2013-02-16T03:59:53.000Z",
  "updated": "2013-02-16T03:59:53.000Z",
  "title": "The automatic additivity of $ξ-$Lie derivations on von Neumann algebras",
  "authors": [
    "Zhaofang Bai",
    "Shuanping Du",
    "Yu Guo"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA",
    "quant-ph"
  ],
  "abstract": "Let ${\\mathcal M}$ be a von Neumann algebra with no central summands of type I$_1$. It is shown that every nonlinear $\\xi-$Lie derivation ($\\xi\\neq 1$) on $\\mathcal M$ is an additive derivation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-16T03:59:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B47",
      "47B49"
    ],
    "keywords": [
      "von neumann algebra",
      "lie derivation",
      "automatic additivity",
      "central summands"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.3927B"
    }
  }
}