{"paper":{"title":"The canonical central exact sequence for locally compact quantum groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Adam Skalski, Pawe{\\l} Kasprzak, Piotr M. So{\\l}tan","submitted_at":"2015-08-12T14:56:18Z","abstract_excerpt":"For a locally compact quantum group $\\mathbb{G}$ we define its center, $\\mathscr{Z}(\\mathbb{G})$, and its quantum group of inner automorphisms, $\\mathrm{Inn}(\\mathbb{G})$. We show that one obtains a natural isomorphism between $\\mathrm{Inn}(\\mathbb{G})$ and $\\mathbb{G}/\\!\\mathscr{Z}(\\mathbb{G})$, we characterize normal quantum subgroups of a compact quantum group as those left invariant by the action of the quantum group of inner automorphisms and discuss several examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02943","kind":"arxiv","version":4},"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"}