{
  "annotation_id": "cf78530a-c258-4518-9ee3-befc0d18e5a8",
  "date_created": "2026-02-17T05:53:15.886000Z",
  "date_modified": "2026-02-17T05:53:15.886000Z",
  "file_hash": "08290f82c52cd1c36bbb76766ef3982f24a55189f9110bd0a81ba94840f2e05d",
  "private": false,
  "record": {
    "abstract": "We develop a deformation framework for $C^*$-algebras equipped with a coaction of a locally compact quantum group, formulated intrinsically at the level of spectral subspaces determined by the coaction. The construction is defined algebraically on a finite spectral core and extended by continuity to a natural Fr\\\u0027echet $*$-algebra completion under mild analytic regularity assumptions.\n  Deformations are governed by scalar fusion data assigning phases to fusion channels of irreducible corepresentations. Associativity and $*$-compatibility are characterized by explicit algebraic identities. The framework recovers a range of known deformation procedures, including Rieffel, Kasprzak, and Drinfeld-type constructions, and also yields genuinely new deformations that do not arise from dual $2$--cocycles or crossed-product methods.\n  At the $C^*$-level, we identify a minimal reduced setting in which the deformed algebra admits a canonical completion, formulated in terms of boundedness of the deformed left regular action on the Haar--GNS space. This separates algebraic coherence from analytic implementability and clarifies the precise role of higher-order fusion data in deformation theory for locally compact quantum groups. In particular, the framework exhibits explicit associator-level deformations governed by fusion $3$--cocycles that cannot arise from any dual $2$--cocycle or crossed-product construction.",
    "arxiv_id": "2601.08688",
    "authors": [
      "Amandip Sangha"
    ],
    "categories": [
      "math.OA",
      "math.FA",
      "math.KT",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Spectral Fusion Deformations for Locally Compact Quantum Groups",
    "url": "https://arxiv.org/abs/2601.08688",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ed2b957e-497d-43cb-bd28-95f5529c238c",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}