{
  "id": "math-ph/0207035",
  "version": "v1",
  "published": "2002-07-25T14:46:43.000Z",
  "updated": "2002-07-25T14:46:43.000Z",
  "title": "K-Theory of topological algebras and second quantization",
  "authors": [
    "Anastasios Mallios"
  ],
  "comment": "16 pages, elaborated version of the talk at the opening session of the Intern. Conference on ``Topological Algebras and Applications'', Oulu (2001)",
  "categories": [
    "math-ph",
    "hep-th",
    "math.DG",
    "math.MP"
  ],
  "abstract": "Applying the classical Serre-Swan theorem, as this is extended to topological (non-normed) algebras, one attains a classification of elementary particles via their spin-structure. In this context, our argument is virtually based on a ``correspondence principle'' of S. A. Selesnick, formulated herewith in a sheaf-theoretic language, presisely speaking, in terms of vector sheaves. This then leads directly to second quantization, as well as, to other applications of geometric (pre)quantization theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-25T14:46:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second quantization",
      "topological algebras",
      "quantization theory",
      "elementary particles",
      "classical serre-swan theorem"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 591427,
      "adsabs": "2002math.ph...7035M"
    }
  }
}