{
  "id": "1603.01726",
  "version": "v1",
  "published": "2016-03-05T13:47:02.000Z",
  "updated": "2016-03-05T13:47:02.000Z",
  "title": "An exploration of normalish subgroups of R. Thompson's groups $F$ and $T$",
  "authors": [
    "Collin Bleak"
  ],
  "comment": "4 pages",
  "categories": [
    "math.GR",
    "math.FA"
  ],
  "abstract": "In this short note, we show that R. Thompson's group $F$ admits a normalish amenable subgroup, and that the standard copy of $F$ in R. Thompson's group $T$ is normalish in $T$. We further conjecture that if $F$ is non-amenable, then $T$ does not admit a normalish amenable subgroup, and therefore that the reduced $C^*$ algebra of $T$ is in fact simple in that case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-05T13:47:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E07",
      "46L05"
    ],
    "keywords": [
      "thompsons group",
      "normalish subgroups",
      "exploration",
      "normalish amenable subgroup",
      "short note"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160301726B"
    }
  }
}