{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:CVZDF7IA67I4HO6YH64JQBOMFG","short_pith_number":"pith:CVZDF7IA","schema_version":"1.0","canonical_sha256":"157232fd00f7d1c3bbd83fb89805cc299e5a3ce7c567229e93791449c9810234","source":{"kind":"arxiv","id":"1409.7093","version":1},"attestation_state":"computed","paper":{"title":"Model actions for almost reduced groups on UHF algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Michael Sun","submitted_at":"2014-09-24T20:47:12Z","abstract_excerpt":"For any countable discrete group $G$ with a reduced abelian subgroup of finite index, we construct an action $\\alpha$ of $G$ on the universal UHF algebra $\\Qq$ using an infinite tensor product of permutation representations of $G$ and show that these actions possess some sort of Rokhlin property. The crossed product $\\qag$ is then deduced to be tracially AF with a unique tracial state. We also compute the Elliott invariants in the case that $G$ is abelian."},"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":"1409.7093","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-09-24T20:47:12Z","cross_cats_sorted":[],"title_canon_sha256":"3106f827e1fb4cc3997453c0469d0b6c91d732e4f2c98999aeb08bcf5250c8ee","abstract_canon_sha256":"61086e8fe904b8f8767db911f34b7d93aa4fba07179f3e554670ba450a2f5ba3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:59.159436Z","signature_b64":"YwEtwt/IJiR0wOpBCjAe8DfTPuNpEGCsweO7f8+NTEYixsudeSpsG5zdi4XyTUyqwJwmdpMyzoE8UTT/Niv0AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"157232fd00f7d1c3bbd83fb89805cc299e5a3ce7c567229e93791449c9810234","last_reissued_at":"2026-05-18T02:41:59.158973Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:59.158973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Model actions for almost reduced groups on UHF algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Michael Sun","submitted_at":"2014-09-24T20:47:12Z","abstract_excerpt":"For any countable discrete group $G$ with a reduced abelian subgroup of finite index, we construct an action $\\alpha$ of $G$ on the universal UHF algebra $\\Qq$ using an infinite tensor product of permutation representations of $G$ and show that these actions possess some sort of Rokhlin property. The crossed product $\\qag$ is then deduced to be tracially AF with a unique tracial state. We also compute the Elliott invariants in the case that $G$ is abelian."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7093","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":"1409.7093","created_at":"2026-05-18T02:41:59.159042+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.7093v1","created_at":"2026-05-18T02:41:59.159042+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7093","created_at":"2026-05-18T02:41:59.159042+00:00"},{"alias_kind":"pith_short_12","alias_value":"CVZDF7IA67I4","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"CVZDF7IA67I4HO6Y","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"CVZDF7IA","created_at":"2026-05-18T12:28:25.294606+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/CVZDF7IA67I4HO6YH64JQBOMFG","json":"https://pith.science/pith/CVZDF7IA67I4HO6YH64JQBOMFG.json","graph_json":"https://pith.science/api/pith-number/CVZDF7IA67I4HO6YH64JQBOMFG/graph.json","events_json":"https://pith.science/api/pith-number/CVZDF7IA67I4HO6YH64JQBOMFG/events.json","paper":"https://pith.science/paper/CVZDF7IA"},"agent_actions":{"view_html":"https://pith.science/pith/CVZDF7IA67I4HO6YH64JQBOMFG","download_json":"https://pith.science/pith/CVZDF7IA67I4HO6YH64JQBOMFG.json","view_paper":"https://pith.science/paper/CVZDF7IA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.7093&json=true","fetch_graph":"https://pith.science/api/pith-number/CVZDF7IA67I4HO6YH64JQBOMFG/graph.json","fetch_events":"https://pith.science/api/pith-number/CVZDF7IA67I4HO6YH64JQBOMFG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CVZDF7IA67I4HO6YH64JQBOMFG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CVZDF7IA67I4HO6YH64JQBOMFG/action/storage_attestation","attest_author":"https://pith.science/pith/CVZDF7IA67I4HO6YH64JQBOMFG/action/author_attestation","sign_citation":"https://pith.science/pith/CVZDF7IA67I4HO6YH64JQBOMFG/action/citation_signature","submit_replication":"https://pith.science/pith/CVZDF7IA67I4HO6YH64JQBOMFG/action/replication_record"}},"created_at":"2026-05-18T02:41:59.159042+00:00","updated_at":"2026-05-18T02:41:59.159042+00:00"}