{"paper":{"title":"Projections over Quantum Homogeneous Odd-dimensional Spheres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Albert Jeu-Liang Sheu","submitted_at":"2019-03-07T15:27:18Z","abstract_excerpt":"We give a complete classification of isomorphism classes of finitely generated projective modules, or equivalently, unitary equivalence classes of projections, over the C*-algebra $C\\left( \\mathbb{S}_{q}^{2n+1}\\right) $ of the quantum homogeneous sphere $\\mathbb{S}_{q}^{2n+1}$. Then we explicitly identify as concrete elementary projections the quantum line bundles $L_{k}$ over the quantum complex projective space $\\mathbb{C}P_{q}^{n}$ associated with the quantum Hopf principal $U\\left( 1\\right) $-bundle $\\mathbb{S} _{q}^{2n+1}\\rightarrow\\mathbb{C}P_{q}^{n}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.02989","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}