{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:S4AGSACYTJCMKNOELHWBJDLOEZ","short_pith_number":"pith:S4AGSACY","schema_version":"1.0","canonical_sha256":"97006900589a44c535c459ec148d6e26602b4fe6e53683aee21162da22cd61a0","source":{"kind":"arxiv","id":"1401.2486","version":1},"attestation_state":"computed","paper":{"title":"$C^*$-algebras from planar algebras II: the Guionnet-Jones-Shlyakhtenko $C^*$-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"David Penneys, Michael Hartglass","submitted_at":"2014-01-11T00:08:48Z","abstract_excerpt":"We study the $C^*$-algebras arising in the construction of Guionnet-Jones-Shlyakhtenko (GJS) for a planar algebra. In particular, we show they are pairwise strongly Morita equivalent, we compute their $K$-groups, and we prove many properties, such as simplicity, unique trace, and stable rank 1. Interestingly, we see a $K$-theoretic obstruction to the GJS $C^*$-algebra analog of Goldman-type theorems for II$_1$-subfactors. This is the second article in a series studying canonical $C^*$-algebras associated to a planar algebra."},"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":"1401.2486","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-01-11T00:08:48Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"8a068191e537a5521141eb98f8dccb7db44212e105623774bff10378c9ce3388","abstract_canon_sha256":"32ff80ae035551de7e0413c2bf54c72e4ed173517ae06aff2f75409b8179b12a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:33.452845Z","signature_b64":"9QrOqOxHWc20lDSIbPP4/7+zjQ82elBYIexmc1ClkDWok2B2QsEN2fDlEU29eZxlL8K/0v4WPQpr6VoFg97ABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97006900589a44c535c459ec148d6e26602b4fe6e53683aee21162da22cd61a0","last_reissued_at":"2026-05-18T03:02:33.452041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:33.452041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$C^*$-algebras from planar algebras II: the Guionnet-Jones-Shlyakhtenko $C^*$-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"David Penneys, Michael Hartglass","submitted_at":"2014-01-11T00:08:48Z","abstract_excerpt":"We study the $C^*$-algebras arising in the construction of Guionnet-Jones-Shlyakhtenko (GJS) for a planar algebra. In particular, we show they are pairwise strongly Morita equivalent, we compute their $K$-groups, and we prove many properties, such as simplicity, unique trace, and stable rank 1. Interestingly, we see a $K$-theoretic obstruction to the GJS $C^*$-algebra analog of Goldman-type theorems for II$_1$-subfactors. This is the second article in a series studying canonical $C^*$-algebras associated to a planar algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2486","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":"1401.2486","created_at":"2026-05-18T03:02:33.452177+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.2486v1","created_at":"2026-05-18T03:02:33.452177+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2486","created_at":"2026-05-18T03:02:33.452177+00:00"},{"alias_kind":"pith_short_12","alias_value":"S4AGSACYTJCM","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"S4AGSACYTJCMKNOE","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"S4AGSACY","created_at":"2026-05-18T12:28:46.137349+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/S4AGSACYTJCMKNOELHWBJDLOEZ","json":"https://pith.science/pith/S4AGSACYTJCMKNOELHWBJDLOEZ.json","graph_json":"https://pith.science/api/pith-number/S4AGSACYTJCMKNOELHWBJDLOEZ/graph.json","events_json":"https://pith.science/api/pith-number/S4AGSACYTJCMKNOELHWBJDLOEZ/events.json","paper":"https://pith.science/paper/S4AGSACY"},"agent_actions":{"view_html":"https://pith.science/pith/S4AGSACYTJCMKNOELHWBJDLOEZ","download_json":"https://pith.science/pith/S4AGSACYTJCMKNOELHWBJDLOEZ.json","view_paper":"https://pith.science/paper/S4AGSACY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.2486&json=true","fetch_graph":"https://pith.science/api/pith-number/S4AGSACYTJCMKNOELHWBJDLOEZ/graph.json","fetch_events":"https://pith.science/api/pith-number/S4AGSACYTJCMKNOELHWBJDLOEZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S4AGSACYTJCMKNOELHWBJDLOEZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S4AGSACYTJCMKNOELHWBJDLOEZ/action/storage_attestation","attest_author":"https://pith.science/pith/S4AGSACYTJCMKNOELHWBJDLOEZ/action/author_attestation","sign_citation":"https://pith.science/pith/S4AGSACYTJCMKNOELHWBJDLOEZ/action/citation_signature","submit_replication":"https://pith.science/pith/S4AGSACYTJCMKNOELHWBJDLOEZ/action/replication_record"}},"created_at":"2026-05-18T03:02:33.452177+00:00","updated_at":"2026-05-18T03:02:33.452177+00:00"}