{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:H4QGEF6K7M3ZOMJW2XCG6F5CUQ","short_pith_number":"pith:H4QGEF6K","schema_version":"1.0","canonical_sha256":"3f206217cafb37973136d5c46f17a2a437ab7eb08176f27637df79c37f2ac7fa","source":{"kind":"arxiv","id":"1708.07492","version":1},"attestation_state":"computed","paper":{"title":"Tensor products of NCDL-C*-algebras and the C*-algebra of the Heisenberg motion groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Hedi Regeibaand, Jean Ludwig","submitted_at":"2017-08-24T17:00:37Z","abstract_excerpt":"We show that the tensor product $A\\otimes B$ over $\\mathbb{C}$ of two $C^* $-algebras satisfying the \\textit{NCDL} conditions has again the same property. We use this result to describe the $C^* $-algebra of the Heisenberg motion groups $G_n = \\mathbb{T}^n \\ltimes \\mathbb{H}_n$ as algebra of operator fields defined over the spectrum of $G_n $."},"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":"1708.07492","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-08-24T17:00:37Z","cross_cats_sorted":[],"title_canon_sha256":"f028e1e09479c50a01f87b341207197c80a52db37ad9c8e546c4da89e1b70f84","abstract_canon_sha256":"fd049d23f253be426c92d5b67d0d4ca1269e68864bdc2f8282e5e2c31fb32b93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:44.187737Z","signature_b64":"1So1ie3EacrM27Vk1liStRMwfL1mxBro7stnzbINJ7FDH8wqRvcwbTZnY3lyhBH1t5kdaeC17Zx0MqQIcbihCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f206217cafb37973136d5c46f17a2a437ab7eb08176f27637df79c37f2ac7fa","last_reissued_at":"2026-05-18T00:36:44.187120Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:44.187120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tensor products of NCDL-C*-algebras and the C*-algebra of the Heisenberg motion groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Hedi Regeibaand, Jean Ludwig","submitted_at":"2017-08-24T17:00:37Z","abstract_excerpt":"We show that the tensor product $A\\otimes B$ over $\\mathbb{C}$ of two $C^* $-algebras satisfying the \\textit{NCDL} conditions has again the same property. We use this result to describe the $C^* $-algebra of the Heisenberg motion groups $G_n = \\mathbb{T}^n \\ltimes \\mathbb{H}_n$ as algebra of operator fields defined over the spectrum of $G_n $."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07492","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":"1708.07492","created_at":"2026-05-18T00:36:44.187210+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.07492v1","created_at":"2026-05-18T00:36:44.187210+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07492","created_at":"2026-05-18T00:36:44.187210+00:00"},{"alias_kind":"pith_short_12","alias_value":"H4QGEF6K7M3Z","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"H4QGEF6K7M3ZOMJW","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"H4QGEF6K","created_at":"2026-05-18T12:31:18.294218+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/H4QGEF6K7M3ZOMJW2XCG6F5CUQ","json":"https://pith.science/pith/H4QGEF6K7M3ZOMJW2XCG6F5CUQ.json","graph_json":"https://pith.science/api/pith-number/H4QGEF6K7M3ZOMJW2XCG6F5CUQ/graph.json","events_json":"https://pith.science/api/pith-number/H4QGEF6K7M3ZOMJW2XCG6F5CUQ/events.json","paper":"https://pith.science/paper/H4QGEF6K"},"agent_actions":{"view_html":"https://pith.science/pith/H4QGEF6K7M3ZOMJW2XCG6F5CUQ","download_json":"https://pith.science/pith/H4QGEF6K7M3ZOMJW2XCG6F5CUQ.json","view_paper":"https://pith.science/paper/H4QGEF6K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.07492&json=true","fetch_graph":"https://pith.science/api/pith-number/H4QGEF6K7M3ZOMJW2XCG6F5CUQ/graph.json","fetch_events":"https://pith.science/api/pith-number/H4QGEF6K7M3ZOMJW2XCG6F5CUQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H4QGEF6K7M3ZOMJW2XCG6F5CUQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H4QGEF6K7M3ZOMJW2XCG6F5CUQ/action/storage_attestation","attest_author":"https://pith.science/pith/H4QGEF6K7M3ZOMJW2XCG6F5CUQ/action/author_attestation","sign_citation":"https://pith.science/pith/H4QGEF6K7M3ZOMJW2XCG6F5CUQ/action/citation_signature","submit_replication":"https://pith.science/pith/H4QGEF6K7M3ZOMJW2XCG6F5CUQ/action/replication_record"}},"created_at":"2026-05-18T00:36:44.187210+00:00","updated_at":"2026-05-18T00:36:44.187210+00:00"}