{
  "annotation_id": "e52d181e-a80d-4fce-be34-e26b60b6a7eb",
  "date_created": "2026-02-17T05:53:08.550000Z",
  "date_modified": "2026-02-17T05:53:08.550000Z",
  "file_hash": "ccb02f85dbf7c295e5d2a2bf7e7c247ae93d5b0be9420f7e8735031c90e89761",
  "private": false,
  "record": {
    "abstract": "We investigate growth properties of cocycles with values in uniformly bounded representations on super-reflexive Banach spaces; this includes $L^p$-spaces for $1\u003cp\u003c\\infty$ as well as Hilbert spaces. We then study the generalized Hilbert compression of cocycles arising in this setting for the Property (T) groups $\\mathrm{Sp}(n,1)$, $n\\ge 2$, and establish the existence of uniformly Lipschitz affine actions with optimal growth.",
    "arxiv_id": "2601.06322",
    "authors": [
      "Kevin Boucher",
      "Georg Grutzner"
    ],
    "categories": [
      "math.GR",
      "math.FA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Uniformly affine actions on Banach spaces: growth of cocycles",
    "url": "https://arxiv.org/abs/2601.06322",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "844b560b-ae7f-4339-b94f-001aef108e56",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}