{
  "id": "1402.3061",
  "version": "v1",
  "published": "2014-02-13T08:49:43.000Z",
  "updated": "2014-02-13T08:49:43.000Z",
  "title": "Spectral triples and Toeplitz operators",
  "authors": [
    "M. Englis",
    "K. Falk",
    "B. Iochum"
  ],
  "comment": "31 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We give examples of spectral triples, in the sense of A. Connes, constructed using the algebra of Toeplitz operators on smoothly bounded strictly pseudoconvex domains in $C^n$, or the star product for the Berezin-Toeplitz quantization. Our main tool is the theory of generalized Toeplitz operators on the boundary of such domains, due to Boutet de Monvel and Guillemin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-13T08:49:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spectral triples",
      "star product",
      "smoothly bounded strictly pseudoconvex domains",
      "berezin-toeplitz quantization",
      "main tool"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.3061E"
    }
  }
}