{
  "annotation_id": "f03ba6c9-e28f-4bfb-aa74-82b8f57cfd09",
  "date_created": "2026-02-17T05:53:12.526000Z",
  "date_modified": "2026-02-17T05:53:12.526000Z",
  "file_hash": "f3b72fdf34e02bfc5ebb4a4d3a898d81b531885683d2b2890f590c9ece18caee",
  "private": false,
  "record": {
    "abstract": "This paper uses monads and comonads to establish a certain type of equivalence between two subcategories, one reflective and one coreflective, in a category whose objects represent compactifications of non-compact locally compact Hausdorff spaces. The equivalence is then examined in the dual category of unitizations of non-unital commutative $C^*$-algebras and subsequently generalized to the noncommutative case.",
    "arxiv_id": "2601.07940",
    "authors": [
      "Jeri Ann Spiker"
    ],
    "categories": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "An Application of Idempotent Monads and Comonads to Compactifications and Unitizations",
    "url": "https://arxiv.org/abs/2601.07940",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d7376b39-6692-4c79-ac4f-54658b06f126",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}