{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:AQJSN7NHRW222P7YFPSXI643ZH","short_pith_number":"pith:AQJSN7NH","schema_version":"1.0","canonical_sha256":"041326fda78db5ad3ff82be5747b9bc9ff90bbe690ed61e8b40fd29e7787088d","source":{"kind":"arxiv","id":"1307.2523","version":2},"attestation_state":"computed","paper":{"title":"Ergodic theory for quantum semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.FA"],"primary_cat":"math.OA","authors_text":"Ami Viselter, Volker Runde","submitted_at":"2013-07-09T17:30:34Z","abstract_excerpt":"Recent results of L. Zsido, based on his previous work with C. P. Niculescu and A. Stroh, on actions of topological semigroups on von Neumann algebras, give a Jacobs-de Leeuw-Glicksberg splitting theorem at the von Neumann algebra (rather than Hilbert space) level. We generalize this to the framework of actions of quantum semigroups, namely Hopf-von Neumann algebras. To this end, we introduce and study a notion of almost periodic vectors and operators that is suitable for our setting."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1307.2523","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-07-09T17:30:34Z","cross_cats_sorted":["math.DS","math.FA"],"title_canon_sha256":"79fe07dc58026b4cc427254ae7bd3256b29e9c612aa3d43fa3f06c7afedf9c87","abstract_canon_sha256":"f1e3fc87d28c2e3aa3831ef75bc3f0da7b35600aa5fe5b49ae439e092afa77f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:42.972015Z","signature_b64":"BF91TqX7h1Buykgc8uaZ5VVRW8UlZcTwuJP/hwQAHJ1QFf5UEncznmiYkfwjg1vADUJxixIv2B6ftCNK2Z34Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"041326fda78db5ad3ff82be5747b9bc9ff90bbe690ed61e8b40fd29e7787088d","last_reissued_at":"2026-05-18T02:50:42.971460Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:42.971460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ergodic theory for quantum semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.FA"],"primary_cat":"math.OA","authors_text":"Ami Viselter, Volker Runde","submitted_at":"2013-07-09T17:30:34Z","abstract_excerpt":"Recent results of L. Zsido, based on his previous work with C. P. Niculescu and A. Stroh, on actions of topological semigroups on von Neumann algebras, give a Jacobs-de Leeuw-Glicksberg splitting theorem at the von Neumann algebra (rather than Hilbert space) level. We generalize this to the framework of actions of quantum semigroups, namely Hopf-von Neumann algebras. To this end, we introduce and study a notion of almost periodic vectors and operators that is suitable for our setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2523","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1307.2523","created_at":"2026-05-18T02:50:42.971553+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.2523v2","created_at":"2026-05-18T02:50:42.971553+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2523","created_at":"2026-05-18T02:50:42.971553+00:00"},{"alias_kind":"pith_short_12","alias_value":"AQJSN7NHRW22","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"AQJSN7NHRW222P7Y","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"AQJSN7NH","created_at":"2026-05-18T12:27:38.830355+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AQJSN7NHRW222P7YFPSXI643ZH","json":"https://pith.science/pith/AQJSN7NHRW222P7YFPSXI643ZH.json","graph_json":"https://pith.science/api/pith-number/AQJSN7NHRW222P7YFPSXI643ZH/graph.json","events_json":"https://pith.science/api/pith-number/AQJSN7NHRW222P7YFPSXI643ZH/events.json","paper":"https://pith.science/paper/AQJSN7NH"},"agent_actions":{"view_html":"https://pith.science/pith/AQJSN7NHRW222P7YFPSXI643ZH","download_json":"https://pith.science/pith/AQJSN7NHRW222P7YFPSXI643ZH.json","view_paper":"https://pith.science/paper/AQJSN7NH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.2523&json=true","fetch_graph":"https://pith.science/api/pith-number/AQJSN7NHRW222P7YFPSXI643ZH/graph.json","fetch_events":"https://pith.science/api/pith-number/AQJSN7NHRW222P7YFPSXI643ZH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AQJSN7NHRW222P7YFPSXI643ZH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AQJSN7NHRW222P7YFPSXI643ZH/action/storage_attestation","attest_author":"https://pith.science/pith/AQJSN7NHRW222P7YFPSXI643ZH/action/author_attestation","sign_citation":"https://pith.science/pith/AQJSN7NHRW222P7YFPSXI643ZH/action/citation_signature","submit_replication":"https://pith.science/pith/AQJSN7NHRW222P7YFPSXI643ZH/action/replication_record"}},"created_at":"2026-05-18T02:50:42.971553+00:00","updated_at":"2026-05-18T02:50:42.971553+00:00"}