{
  "id": "math/0112235",
  "version": "v1",
  "published": "2001-12-21T00:09:30.000Z",
  "updated": "2001-12-21T00:09:30.000Z",
  "title": "K-homology of the rotation algebras $A_θ$",
  "authors": [
    "Tom Hadfield"
  ],
  "comment": "16 pages, AMS Latex, uses package diagrams",
  "journal": "Canadian Journal of Mathematics, 56, no. 5, 926-944 (2004)",
  "categories": [
    "math.OA",
    "math.KT"
  ],
  "abstract": "We study the K-homology of the rotation algebras $A_{\\theta}$ using the six term cyclic sequence for the K-homology of a crossed product by ${\\bf Z}$. In the case where $\\theta$ is irrational we use Pimsner and Voiculescu's work on AF-embeddings of the $A_{\\theta}$ to search for the missing generator of the even K-homology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-12-21T00:09:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58B34",
      "19K33"
    ],
    "keywords": [
      "rotation algebras",
      "k-homology",
      "term cyclic sequence",
      "voiculescus work",
      "irrational"
    ],
    "tags": [
      "research tool",
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....12235H"
    }
  }
}