{
  "id": "1406.5620",
  "version": "v3",
  "published": "2014-06-21T14:46:32.000Z",
  "updated": "2016-07-12T10:47:56.000Z",
  "title": "Power operations in $K$-theory completed at a prime",
  "authors": [
    "Andrew Baker"
  ],
  "comment": "Version 3: minor corrections and updated references",
  "categories": [
    "math.AT"
  ],
  "abstract": "We describe the action of power operations on the $p$-completed cooperation algebras $K^\\vee_0 K = K_0(K)\\sphat_p$ for $K$-theory at a prime~$p$, and $K^\\vee_0 KO = K_0(KO)\\sphat_2$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-31T21:09:01.000Z",
      "abstract": "We describe the action of power operations on the $p$-completed cooperation algebra $K^\\vee_0 K = K_0(K)^{\\displaystyle\\hat{}}_p$ for $K$-theory at a prime~$p$.",
      "comment": "Version 2: corrections and some additional material in Section 5",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2016-07-12T10:47:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P43",
      "13D03",
      "55N35",
      "55P48"
    ],
    "keywords": [
      "power operations",
      "completed cooperation algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.5620B"
    }
  }
}