{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BP2CIKHW7USJDAYH6FPCXZKL6V","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"83e6f64e97733bdc9223bab6af859e12be32fecb224238137f2a9e13eafa795b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-05-08T10:44:11Z","title_canon_sha256":"a041af1a0ac616737a037992c457d6c632586382e666c0cabf9de43607fc87bc"},"schema_version":"1.0","source":{"id":"1305.1771","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1771","created_at":"2026-05-18T03:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1771v2","created_at":"2026-05-18T03:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1771","created_at":"2026-05-18T03:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"BP2CIKHW7USJ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BP2CIKHW7USJDAYH","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BP2CIKHW","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:2bddd3bb86fb7745e8c84d9b5f69d682cd791da1dc97084b3c0e46e3502e4155","target":"graph","created_at":"2026-05-18T03:20:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Let G be a group, Fin the family of its finite subgroups, and E(G,Fin) the classifying space. Let L^1 be the algebra of trace-class operators in an infinite dimensional, separable Hilbert space over the complex numbers. Consider the rational assembly map in homotopy algebraic K-theory H_p^G(E(G,Fin),KH(L^1))\\otimes\\Q \\to KH_p(L^1[G])\\otimes\\Q. The rational KH-isomorphism conjecture predicts that the map above is an isomorphism; it follows from a theorem of Yu (see arXiv:1106.3796, arXiv:1202.4999) that it is always injective. In the current article we prove the following. Theorem: Assume that ","authors_text":"Gisela Tartaglia, Guillermo Corti\\~nas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-05-08T10:44:11Z","title":"Trace class operators, regulators, and assembly maps in K-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1771","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3c5ed8498f20e16d59cbf8ff8c3ca3b70c9b308f2289d1428761cdfe4324936f","target":"record","created_at":"2026-05-18T03:20:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"83e6f64e97733bdc9223bab6af859e12be32fecb224238137f2a9e13eafa795b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-05-08T10:44:11Z","title_canon_sha256":"a041af1a0ac616737a037992c457d6c632586382e666c0cabf9de43607fc87bc"},"schema_version":"1.0","source":{"id":"1305.1771","kind":"arxiv","version":2}},"canonical_sha256":"0bf42428f6fd24918307f15e2be54bf54d41f1c3bd477222ef40c886f693b0db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bf42428f6fd24918307f15e2be54bf54d41f1c3bd477222ef40c886f693b0db","first_computed_at":"2026-05-18T03:20:22.246092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:22.246092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GEZ3xdfC5IAnBo9b0k20Qjhm1pjm0bL3PkzLbMgdwNzKXT7gYOyEIUQz929k03JTo9TZJtYzp9NF3AaJE2o9DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:22.246829Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.1771","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c5ed8498f20e16d59cbf8ff8c3ca3b70c9b308f2289d1428761cdfe4324936f","sha256:2bddd3bb86fb7745e8c84d9b5f69d682cd791da1dc97084b3c0e46e3502e4155"],"state_sha256":"59886bd6157028216020b7cf63cea53ca2fdece73cad77aba629fa870506db38"}