{
  "id": "1404.7030",
  "version": "v2",
  "published": "2014-04-28T15:52:52.000Z",
  "updated": "2015-07-23T18:27:21.000Z",
  "title": "Amenability and ergodic properties of topological groups: from Bogolyubov onwards",
  "authors": [
    "Rostislav Grigorchuk",
    "Pierre de la Harpe"
  ],
  "comment": "Terminology has been changed for reasons explained in Remark 3.15. Otherwise, minor corrections have been made",
  "categories": [
    "math.GR"
  ],
  "abstract": "The purpose of this expository article is to revisit the notions of amenability and ergodicity, and to point out that they appear for topological groups that are not necessarily locally compact in articles by Bogolyubov (1939), Fomin (1950), Dixmier (1950), and Rickert (1967).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-28T15:52:52.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-07-23T18:27:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A07"
    ],
    "keywords": [
      "topological groups",
      "ergodic properties",
      "bogolyubov onwards",
      "amenability",
      "expository article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.7030G"
    }
  }
}