{
  "id": "0912.2471",
  "version": "v2",
  "published": "2009-12-13T02:55:58.000Z",
  "updated": "2010-01-18T00:24:34.000Z",
  "title": "Morse Theory for C*-Algebras: A Geometric Interpretation of Some Noncommutative Manifolds",
  "authors": [
    "Vida Milani",
    "Seyed M. H. Mansourbeigi",
    "Ali Asghar Rezaei"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "abstract": "The approach we present is a modification of the Morse theory for unital C*-algebras. We provide tools for the geometric interpretation of noncommutative CW complexes. These objects were introduced and studied in [2],[7] and [14]. Some examples to illustrate these geometric information in practice are given. A classification of unital C*-algebras by noncommutative CW complexes and the modified Morse functions on them is the main object of this work.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-01-18T00:24:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06B30",
      "46L35",
      "46L85",
      "55P15",
      "55U10"
    ],
    "keywords": [
      "geometric interpretation",
      "morse theory",
      "noncommutative manifolds",
      "noncommutative cw complexes",
      "geometric information"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.2471M"
    }
  }
}