{
  "id": "1409.5848",
  "version": "v1",
  "published": "2014-09-20T02:54:08.000Z",
  "updated": "2014-09-20T02:54:08.000Z",
  "title": "Unitary representations of the groups of measurable and continuous functions with values in the circle",
  "authors": [
    "Slawomir Solecki"
  ],
  "categories": [
    "math.RT",
    "math.FA"
  ],
  "abstract": "We give a classification of unitary representations of certain Polish, not necessarily locally compact, groups: the groups of all measurable functions with values in the circle and the groups of all continuous functions on compact, second countable, zero-dimensional spaces with values in the circle. In the proofs of our classification results, certain structure theorems and factorization theorems for linear operators are used.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-20T02:54:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22A25",
      "46A16",
      "46E10",
      "46E30"
    ],
    "keywords": [
      "unitary representations",
      "continuous functions",
      "linear operators",
      "zero-dimensional spaces",
      "classification results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.5848S"
    }
  }
}