{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:QLJXU7ED3OOIQRFSZDHRZDC73B","short_pith_number":"pith:QLJXU7ED","schema_version":"1.0","canonical_sha256":"82d37a7c83db9c8844b2c8cf1c8c5fd8522a125fe257e62c4ed80bfa9c52a38e","source":{"kind":"arxiv","id":"math-ph/0405022","version":1},"attestation_state":"computed","paper":{"title":"Boundary maps for $C^*$-crossed products with R with an application to the quantum Hall effect","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Hermann Schulz-Baldes, Johannes Kellendonk","submitted_at":"2004-05-07T08:59:15Z","abstract_excerpt":"The boundary map in K-theory arising from the Wiener-Hopf extension of a crossed product algebra with R is the Connes-Thom isomorphism. In this article the Wiener Hopf extension is combined with the Heisenberg group algebra to provide an elementary construction of a corresponding map on higher traces (and cyclic cohomology). It then follows directly from a non-commutative Stokes theorem that this map is dual w.r.t.Connes' pairing of cyclic cohomology with K-theory. As an application, we prove equality of quantized bulk and edge conductivities for the integer quantum Hall effect described by co"},"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":"math-ph/0405022","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2004-05-07T08:59:15Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"44f0e25bd9a6162acf7d5d8948006fbb2cfe1bfeaea2788683d33730186cd3cf","abstract_canon_sha256":"9e1863401e67ae1befb3884f32948ab18c5500b40a909b4ffc6ef7a8aa2ff534"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:06.755640Z","signature_b64":"1d7AoGtwLbD0M80z7FoIzlHG9Gt16UotSoa8YRsWRRMRa5ucAGq2BexrssZO9VtjWm+bfy348JYfqCehF7W7DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82d37a7c83db9c8844b2c8cf1c8c5fd8522a125fe257e62c4ed80bfa9c52a38e","last_reissued_at":"2026-05-18T01:01:06.754967Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:06.754967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boundary maps for $C^*$-crossed products with R with an application to the quantum Hall effect","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Hermann Schulz-Baldes, Johannes Kellendonk","submitted_at":"2004-05-07T08:59:15Z","abstract_excerpt":"The boundary map in K-theory arising from the Wiener-Hopf extension of a crossed product algebra with R is the Connes-Thom isomorphism. In this article the Wiener Hopf extension is combined with the Heisenberg group algebra to provide an elementary construction of a corresponding map on higher traces (and cyclic cohomology). It then follows directly from a non-commutative Stokes theorem that this map is dual w.r.t.Connes' pairing of cyclic cohomology with K-theory. As an application, we prove equality of quantized bulk and edge conductivities for the integer quantum Hall effect described by co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0405022","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":"math-ph/0405022","created_at":"2026-05-18T01:01:06.755049+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0405022v1","created_at":"2026-05-18T01:01:06.755049+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0405022","created_at":"2026-05-18T01:01:06.755049+00:00"},{"alias_kind":"pith_short_12","alias_value":"QLJXU7ED3OOI","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"QLJXU7ED3OOIQRFS","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"QLJXU7ED","created_at":"2026-05-18T12:25:52.687210+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/QLJXU7ED3OOIQRFSZDHRZDC73B","json":"https://pith.science/pith/QLJXU7ED3OOIQRFSZDHRZDC73B.json","graph_json":"https://pith.science/api/pith-number/QLJXU7ED3OOIQRFSZDHRZDC73B/graph.json","events_json":"https://pith.science/api/pith-number/QLJXU7ED3OOIQRFSZDHRZDC73B/events.json","paper":"https://pith.science/paper/QLJXU7ED"},"agent_actions":{"view_html":"https://pith.science/pith/QLJXU7ED3OOIQRFSZDHRZDC73B","download_json":"https://pith.science/pith/QLJXU7ED3OOIQRFSZDHRZDC73B.json","view_paper":"https://pith.science/paper/QLJXU7ED","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0405022&json=true","fetch_graph":"https://pith.science/api/pith-number/QLJXU7ED3OOIQRFSZDHRZDC73B/graph.json","fetch_events":"https://pith.science/api/pith-number/QLJXU7ED3OOIQRFSZDHRZDC73B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QLJXU7ED3OOIQRFSZDHRZDC73B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QLJXU7ED3OOIQRFSZDHRZDC73B/action/storage_attestation","attest_author":"https://pith.science/pith/QLJXU7ED3OOIQRFSZDHRZDC73B/action/author_attestation","sign_citation":"https://pith.science/pith/QLJXU7ED3OOIQRFSZDHRZDC73B/action/citation_signature","submit_replication":"https://pith.science/pith/QLJXU7ED3OOIQRFSZDHRZDC73B/action/replication_record"}},"created_at":"2026-05-18T01:01:06.755049+00:00","updated_at":"2026-05-18T01:01:06.755049+00:00"}