{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:D2MMAPHHC2IHILFKBDC4NMG2LN","short_pith_number":"pith:D2MMAPHH","schema_version":"1.0","canonical_sha256":"1e98c03ce71690742caa08c5c6b0da5b695b8884532cbb54203d58c4e9a02ced","source":{"kind":"arxiv","id":"1101.1235","version":1},"attestation_state":"computed","paper":{"title":"Equivalence of Fell Systems and their Reduced C*-Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.KT"],"primary_cat":"math.OA","authors_text":"El-ka\\\"ioum M. Moutuou, Jean-Louis Tu","submitted_at":"2011-01-06T15:39:59Z","abstract_excerpt":"This paper is aimed at investigating links between Fell bundles over Morita equivalent groupoids and their corresponding reduced C*-algebras. Mainly, we review the notion of Fell pairs over a Morita equivalence of groupoids, and give the analogue of the Renault's Equivalence Theorem for the reduced C*-algebras of equivalent Fell systems. Eventually, we will use this theorem to connect the reduced C*-algebra of an S^1-central groupoid extension to that of its associated Dixmier-Douady bundle."},"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":"1101.1235","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-01-06T15:39:59Z","cross_cats_sorted":["math.FA","math.KT"],"title_canon_sha256":"7cff826d2feba7ade00f08c417bf24c737553b70fdae933c925ed5002c60c911","abstract_canon_sha256":"5f5c1613ad4d4c4d406f3c6f76f0184db325416a120f25180a4590a1c1ba315e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:00.271787Z","signature_b64":"reqtXsuLfH6NG2f+k72h5OP9YyZAg5F1K3HC6+mey4Z8LOEVY1/safVvH62fOX+cNJizw5m7vmju+i+gJtCTBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e98c03ce71690742caa08c5c6b0da5b695b8884532cbb54203d58c4e9a02ced","last_reissued_at":"2026-05-18T04:32:00.271286Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:00.271286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivalence of Fell Systems and their Reduced C*-Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.KT"],"primary_cat":"math.OA","authors_text":"El-ka\\\"ioum M. Moutuou, Jean-Louis Tu","submitted_at":"2011-01-06T15:39:59Z","abstract_excerpt":"This paper is aimed at investigating links between Fell bundles over Morita equivalent groupoids and their corresponding reduced C*-algebras. Mainly, we review the notion of Fell pairs over a Morita equivalence of groupoids, and give the analogue of the Renault's Equivalence Theorem for the reduced C*-algebras of equivalent Fell systems. Eventually, we will use this theorem to connect the reduced C*-algebra of an S^1-central groupoid extension to that of its associated Dixmier-Douady bundle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1235","kind":"arxiv","version":1},"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":"1101.1235","created_at":"2026-05-18T04:32:00.271368+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.1235v1","created_at":"2026-05-18T04:32:00.271368+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1235","created_at":"2026-05-18T04:32:00.271368+00:00"},{"alias_kind":"pith_short_12","alias_value":"D2MMAPHHC2IH","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"D2MMAPHHC2IHILFK","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"D2MMAPHH","created_at":"2026-05-18T12:26:26.731475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.04397","citing_title":"A universal property for groupoid C*-algebras. II. Fell bundles","ref_index":43,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/D2MMAPHHC2IHILFKBDC4NMG2LN","json":"https://pith.science/pith/D2MMAPHHC2IHILFKBDC4NMG2LN.json","graph_json":"https://pith.science/api/pith-number/D2MMAPHHC2IHILFKBDC4NMG2LN/graph.json","events_json":"https://pith.science/api/pith-number/D2MMAPHHC2IHILFKBDC4NMG2LN/events.json","paper":"https://pith.science/paper/D2MMAPHH"},"agent_actions":{"view_html":"https://pith.science/pith/D2MMAPHHC2IHILFKBDC4NMG2LN","download_json":"https://pith.science/pith/D2MMAPHHC2IHILFKBDC4NMG2LN.json","view_paper":"https://pith.science/paper/D2MMAPHH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.1235&json=true","fetch_graph":"https://pith.science/api/pith-number/D2MMAPHHC2IHILFKBDC4NMG2LN/graph.json","fetch_events":"https://pith.science/api/pith-number/D2MMAPHHC2IHILFKBDC4NMG2LN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D2MMAPHHC2IHILFKBDC4NMG2LN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D2MMAPHHC2IHILFKBDC4NMG2LN/action/storage_attestation","attest_author":"https://pith.science/pith/D2MMAPHHC2IHILFKBDC4NMG2LN/action/author_attestation","sign_citation":"https://pith.science/pith/D2MMAPHHC2IHILFKBDC4NMG2LN/action/citation_signature","submit_replication":"https://pith.science/pith/D2MMAPHHC2IHILFKBDC4NMG2LN/action/replication_record"}},"created_at":"2026-05-18T04:32:00.271368+00:00","updated_at":"2026-05-18T04:32:00.271368+00:00"}