{"paper":{"title":"On hereditary properties of quantum group amenability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Jason Crann","submitted_at":"2016-03-12T01:52:59Z","abstract_excerpt":"Given a locally compact quantum group $\\mathbb{G}$ and a closed quantum subgroup $\\mathbb{H}$, we show that $\\mathbb{G}$ is amenable if and only if $\\mathbb{H}$ is amenable and $\\mathbb{G}$ acts amenably on the quantum homogenous space $\\mathbb{G}/\\mathbb{H}$. We also study the existence of $L^1(\\widehat{\\mathbb{G}})$-module projections from $L^{\\infty}(\\widehat{\\mathbb{G}})$ onto $L^{\\infty}(\\widehat{\\mathbb{H}})$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03842","kind":"arxiv","version":2},"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"}