{
  "id": "math/0410367",
  "version": "v2",
  "published": "2004-10-16T18:39:50.000Z",
  "updated": "2007-06-19T18:04:28.000Z",
  "title": "On the Multiplicative Structure of Topological Hochschild Homology",
  "authors": [
    "M. Brun",
    "Z. Fiedorowicz",
    "R. M. Vogt"
  ],
  "comment": "19 pages. Revised version with complete proofs",
  "categories": [
    "math.AT"
  ],
  "abstract": "We show that the topological Hochschild homology THH(R of an E_n-ring spectrum R is an E_{n-1}-ring spectrum. The proof is based on the fact that the tensor product of the operad Ass for monoid structures and the the little n-cubes operad is an E_{n+1}-operad, a result which is of independent interest.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-06-19T18:04:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P43"
    ],
    "keywords": [
      "multiplicative structure",
      "topological hochschild homology thh",
      "little n-cubes operad",
      "tensor product",
      "operad ass"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10367B"
    }
  }
}