{
  "id": "0812.2486",
  "version": "v7",
  "published": "2008-12-12T23:49:43.000Z",
  "updated": "2009-05-24T06:38:41.000Z",
  "title": "Characterization of linear groups whose reduced C*-algebras are simple",
  "authors": [
    "Tal Poznansky"
  ],
  "comment": "42 pages; In previous versions, statement of Proposition 2.11 was erroneous. Here is the list of resulting corrections: statement and proof of Proposition 2.11; Remark 2.12; statements of Proposition 2.17 and Theorems 6.4 and 6.5; proof of Theorem 6.3; addition of Lemma 6.6",
  "categories": [
    "math.GR",
    "math.OA"
  ],
  "abstract": "The reduced C*-algebra of a countable linear group G is shown to be simple if and only if G has no nontrivial normal amenable subgroups. Moreover, these conditions are shown to be equivalent to the uniqueness of tracial state on the aforementioned C*-algebra.",
  "revisions": [
    {
      "version": "v7",
      "updated": "2009-05-24T06:38:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D25",
      "46L05"
    ],
    "keywords": [
      "characterization",
      "nontrivial normal amenable subgroups",
      "countable linear group",
      "tracial state",
      "conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.2486P"
    }
  }
}