{
  "annotation_id": "ca31c938-b194-46bf-918a-474faaa0c12d",
  "date_created": "2026-02-17T05:53:11.883000Z",
  "date_modified": "2026-02-17T05:53:11.883000Z",
  "file_hash": "548ea2cac3a203ca88f94e4476a0bb98901def5d40f35e66cf811565bcc8e807",
  "private": false,
  "record": {
    "abstract": "We prove that the reduced cross-sectional algebra of a Fell bundle with the approximation property over an inverse semigroup is exact if and only if the unit fiber of the Fell bundle is exact. This generalizes a recent result of the first-named author for actions of second countable locally compact Hausdorff groupoids on separable $C^*$-algebras. Along the way, we reprove some results of Kwa\\\u0027sniewski--Meyer on Fell bundle ideals.",
    "arxiv_id": "2601.07572",
    "authors": [
      "Changyuan Gao",
      "Julian Kranz"
    ],
    "categories": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Exact Fell bundles with the approximation property over inverse semigroups",
    "url": "https://arxiv.org/abs/2601.07572",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f09d89fd-54e2-4edd-87fa-66118d88ff60",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}