{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZMLYVXDT7IKZZZSVETTLIL7IUG","short_pith_number":"pith:ZMLYVXDT","schema_version":"1.0","canonical_sha256":"cb178adc73fa159ce65524e6b42fe8a19c0c97cbd27f2b181a40be333075f4f3","source":{"kind":"arxiv","id":"1510.02556","version":1},"attestation_state":"computed","paper":{"title":"Exotic Crossed Products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.KT","math.RT"],"primary_cat":"math.OA","authors_text":"Alcides Buss, Rufus Willett, Siegfried Echterhoff","submitted_at":"2015-10-09T03:00:49Z","abstract_excerpt":"An exotic crossed product is a way of associating a C*-algebra to each C*-dynamical system that generalizes the well-known universal and reduced crossed products. Exotic crossed products provide natural generalizations of, and tools to study, exotic group C*-algebras as recently considered by Brown-Guentner and others. They also form an essential part of a recent program to reformulate the Baum-Connes conjecture with coefficients so as to mollify the counterexamples caused by failures of exactness.\n  In this paper, we survey some constructions of exotic group algebras and exotic crossed produc"},"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":"1510.02556","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-10-09T03:00:49Z","cross_cats_sorted":["math.GR","math.KT","math.RT"],"title_canon_sha256":"25c7c8e47bda49f069cccd2bb5083c8ef9a124f989fd8391b3d21c88eb9dbde6","abstract_canon_sha256":"28888120016afa7e07cad4fe4f4f95cbc2461eca53ba132d7015f9b473ba2dc6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:42.110563Z","signature_b64":"JPJwSMWh2/SGrsu1GEZecm80UMldnU12K0YlXc0VGOrQI6NWDrX/axw9fX22gzbZOU0zodFbvt9ApnfIafwUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb178adc73fa159ce65524e6b42fe8a19c0c97cbd27f2b181a40be333075f4f3","last_reissued_at":"2026-05-18T01:30:42.109843Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:42.109843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exotic Crossed Products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.KT","math.RT"],"primary_cat":"math.OA","authors_text":"Alcides Buss, Rufus Willett, Siegfried Echterhoff","submitted_at":"2015-10-09T03:00:49Z","abstract_excerpt":"An exotic crossed product is a way of associating a C*-algebra to each C*-dynamical system that generalizes the well-known universal and reduced crossed products. Exotic crossed products provide natural generalizations of, and tools to study, exotic group C*-algebras as recently considered by Brown-Guentner and others. They also form an essential part of a recent program to reformulate the Baum-Connes conjecture with coefficients so as to mollify the counterexamples caused by failures of exactness.\n  In this paper, we survey some constructions of exotic group algebras and exotic crossed produc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02556","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":"1510.02556","created_at":"2026-05-18T01:30:42.109966+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.02556v1","created_at":"2026-05-18T01:30:42.109966+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02556","created_at":"2026-05-18T01:30:42.109966+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZMLYVXDT7IKZ","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZMLYVXDT7IKZZZSV","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZMLYVXDT","created_at":"2026-05-18T12:29:52.810259+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/ZMLYVXDT7IKZZZSVETTLIL7IUG","json":"https://pith.science/pith/ZMLYVXDT7IKZZZSVETTLIL7IUG.json","graph_json":"https://pith.science/api/pith-number/ZMLYVXDT7IKZZZSVETTLIL7IUG/graph.json","events_json":"https://pith.science/api/pith-number/ZMLYVXDT7IKZZZSVETTLIL7IUG/events.json","paper":"https://pith.science/paper/ZMLYVXDT"},"agent_actions":{"view_html":"https://pith.science/pith/ZMLYVXDT7IKZZZSVETTLIL7IUG","download_json":"https://pith.science/pith/ZMLYVXDT7IKZZZSVETTLIL7IUG.json","view_paper":"https://pith.science/paper/ZMLYVXDT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.02556&json=true","fetch_graph":"https://pith.science/api/pith-number/ZMLYVXDT7IKZZZSVETTLIL7IUG/graph.json","fetch_events":"https://pith.science/api/pith-number/ZMLYVXDT7IKZZZSVETTLIL7IUG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZMLYVXDT7IKZZZSVETTLIL7IUG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZMLYVXDT7IKZZZSVETTLIL7IUG/action/storage_attestation","attest_author":"https://pith.science/pith/ZMLYVXDT7IKZZZSVETTLIL7IUG/action/author_attestation","sign_citation":"https://pith.science/pith/ZMLYVXDT7IKZZZSVETTLIL7IUG/action/citation_signature","submit_replication":"https://pith.science/pith/ZMLYVXDT7IKZZZSVETTLIL7IUG/action/replication_record"}},"created_at":"2026-05-18T01:30:42.109966+00:00","updated_at":"2026-05-18T01:30:42.109966+00:00"}