{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:MEU3XGC7CKUAG4RB2MPM6SRB7X","short_pith_number":"pith:MEU3XGC7","schema_version":"1.0","canonical_sha256":"6129bb985f12a8037221d31ecf4a21fdcc9aa26f020d07e85c72a537a177033b","source":{"kind":"arxiv","id":"1612.06256","version":2},"attestation_state":"computed","paper":{"title":"Triviality of Equivariant Maps in Crossed Products and Matrix Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Benjamin Passer","submitted_at":"2016-12-19T16:38:07Z","abstract_excerpt":"We consider a \"twisted\" noncommutative join procedure for unital $C^*$-algebras which admit actions by a compact abelian group $G$ and its discrete abelian dual $\\Gamma$, so that we may investigate an analogue of Baum-Dabrowski-Hajac noncommutative Borsuk-Ulam theory in the twisted setting. Namely, under what conditions is it guaranteed that an equivariant map $\\phi$ from a unital $C^*$-algebra $A$ to the twisted join of $A$ and $C^*(\\Gamma)$ cannot exist? This pursuit is motivated by the twisted analogues of even spheres, which admit the same $K_0$ groups as even spheres and have an analogous"},"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":"1612.06256","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-12-19T16:38:07Z","cross_cats_sorted":[],"title_canon_sha256":"2a5e16b30912e45c1870b34b22518fdd542d4273f142bad6c751ae6913fbeff7","abstract_canon_sha256":"a43a31f07d0a4df116cea1cefbdf87452b189b01dc4d02a518d4238f6a306a4a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:37.470258Z","signature_b64":"PiyTVuCwUOTGCH/yVRx9bWWJu8K3p99vvTUS1aR3WD6By85PqI+7yr83uN4kXS87DK3QysJv+Mxz6P1lyL+GAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6129bb985f12a8037221d31ecf4a21fdcc9aa26f020d07e85c72a537a177033b","last_reissued_at":"2026-05-17T23:41:37.469487Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:37.469487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Triviality of Equivariant Maps in Crossed Products and Matrix Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Benjamin Passer","submitted_at":"2016-12-19T16:38:07Z","abstract_excerpt":"We consider a \"twisted\" noncommutative join procedure for unital $C^*$-algebras which admit actions by a compact abelian group $G$ and its discrete abelian dual $\\Gamma$, so that we may investigate an analogue of Baum-Dabrowski-Hajac noncommutative Borsuk-Ulam theory in the twisted setting. Namely, under what conditions is it guaranteed that an equivariant map $\\phi$ from a unital $C^*$-algebra $A$ to the twisted join of $A$ and $C^*(\\Gamma)$ cannot exist? This pursuit is motivated by the twisted analogues of even spheres, which admit the same $K_0$ groups as even spheres and have an analogous"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.06256","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":"1612.06256","created_at":"2026-05-17T23:41:37.469623+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.06256v2","created_at":"2026-05-17T23:41:37.469623+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.06256","created_at":"2026-05-17T23:41:37.469623+00:00"},{"alias_kind":"pith_short_12","alias_value":"MEU3XGC7CKUA","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MEU3XGC7CKUAG4RB","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MEU3XGC7","created_at":"2026-05-18T12:30:32.724797+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/MEU3XGC7CKUAG4RB2MPM6SRB7X","json":"https://pith.science/pith/MEU3XGC7CKUAG4RB2MPM6SRB7X.json","graph_json":"https://pith.science/api/pith-number/MEU3XGC7CKUAG4RB2MPM6SRB7X/graph.json","events_json":"https://pith.science/api/pith-number/MEU3XGC7CKUAG4RB2MPM6SRB7X/events.json","paper":"https://pith.science/paper/MEU3XGC7"},"agent_actions":{"view_html":"https://pith.science/pith/MEU3XGC7CKUAG4RB2MPM6SRB7X","download_json":"https://pith.science/pith/MEU3XGC7CKUAG4RB2MPM6SRB7X.json","view_paper":"https://pith.science/paper/MEU3XGC7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.06256&json=true","fetch_graph":"https://pith.science/api/pith-number/MEU3XGC7CKUAG4RB2MPM6SRB7X/graph.json","fetch_events":"https://pith.science/api/pith-number/MEU3XGC7CKUAG4RB2MPM6SRB7X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MEU3XGC7CKUAG4RB2MPM6SRB7X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MEU3XGC7CKUAG4RB2MPM6SRB7X/action/storage_attestation","attest_author":"https://pith.science/pith/MEU3XGC7CKUAG4RB2MPM6SRB7X/action/author_attestation","sign_citation":"https://pith.science/pith/MEU3XGC7CKUAG4RB2MPM6SRB7X/action/citation_signature","submit_replication":"https://pith.science/pith/MEU3XGC7CKUAG4RB2MPM6SRB7X/action/replication_record"}},"created_at":"2026-05-17T23:41:37.469623+00:00","updated_at":"2026-05-17T23:41:37.469623+00:00"}