{
  "id": "2312.11827",
  "version": "v1",
  "published": "2023-12-19T03:32:35.000Z",
  "updated": "2023-12-19T03:32:35.000Z",
  "title": "Isometries between groups of invertible elements in Fourier-Stieltjes algebras",
  "authors": [
    "Osamu Hatori",
    "Shiho Oi"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that if open subgroups of the groups of invertible elements in two Fourier-Stieltjes algebras are isometric as metric spaces, then the underlying locally compact groups are topologically isomorphic. We describe the structure of isometric real algebra isomorphisms between Fourier-Stieltjes algebras and apply it to prove the above result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-19T03:32:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier-stieltjes algebras",
      "invertible elements",
      "isometries",
      "isometric real algebra isomorphisms",
      "metric spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}