{
  "id": "1201.1748",
  "version": "v3",
  "published": "2012-01-09T13:08:47.000Z",
  "updated": "2015-09-09T13:10:05.000Z",
  "title": "On Noncommutative Principal Bundles with Finite Abelian Structure Group",
  "authors": [
    "Stefan Wagner"
  ],
  "comment": "35 pages, all comments are welcome. This paper is an improved version of the preprint arXiv:1201.1748v2 [math.DG]",
  "journal": "J. Noncommut. Geom. 8 (2014), 987-1022",
  "categories": [
    "math.DG"
  ],
  "abstract": "Let $\\Lambda$ be a finite abelian group. A dynamical system with transformation group $\\Lambda$ is a triple $(A,\\Lambda,\\alpha)$, consisting of a unital locally convex algebra $A$, the finite abelian group $\\Lambda$ and a group homomorphism $\\alpha:\\Lambda\\rightarrow\\Aut(A)$, which induces an action of $\\Lambda$ on $A$. In this paper we present a new, geometrically oriented approach to the noncommutative geometry of principal bundles with finite abelian structure group based on such dynamical systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-11T14:04:53.000Z",
      "comment": "34 pages, all comments are welcome. This paper is a improved version of Section 4 of the unpublished preprint arXiv:1201.1748v1 [math.DG]",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-09-09T13:10:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L87",
      "55R10",
      "37B05",
      "17A60"
    ],
    "keywords": [
      "finite abelian structure group",
      "noncommutative principal bundles",
      "finite abelian group",
      "dynamical system",
      "unital locally convex algebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}