{
  "annotation_id": "5aee8576-7924-40c1-94ce-2fdc63d70656",
  "date_created": "2026-03-02T18:01:25.083000Z",
  "date_modified": "2026-03-02T18:01:25.083000Z",
  "file_hash": "85a2037eb36e686c59ab4626d981e857effd2e78e279387412ee15678494dfe7",
  "private": false,
  "record": {
    "abstract": "By weakening the counit and antipode axioms of a C*-Hopf algebra and allowing\nfor the coassociative coproduct to be non-unital we obtain a quantum group,\nthat we call a weak C*-Hopf algebra, which is sufficiently general to describe\nthe symmetries of essentially arbitrary fusion rules. This amounts to\ngeneralizing the Baaj-Skandalis multiplicative unitaries to multipicative\npartial isometries. Every weak C*-Hopf algebra has a dual which is again a weak\nC*-Hopf algebra. An explicit example is presented with Lee-Yang fusion rules.\nWe shortly discuss applications to amalgamated crossed products, doubles, and\nquantum chains.",
    "arxiv_id": "q-alg/9509008",
    "authors": [
      "G. Bohm",
      "K. Szlachanyi"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF01815526",
    "title": "A Coassociative C*-Quantum Group with Non-Integral Dimensions",
    "url": "https://arxiv.org/abs/q-alg/9509008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e1ecaa17-376c-4aa6-a405-568357c8f31c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}