{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:B3TBS7ZJR2QJV5YH633KLIERPA","short_pith_number":"pith:B3TBS7ZJ","schema_version":"1.0","canonical_sha256":"0ee6197f298ea09af707f6f6a5a091781ac51dbe83f5bcfeab0759a3c9473035","source":{"kind":"arxiv","id":"1510.03296","version":2},"attestation_state":"computed","paper":{"title":"The Fourier-Stieltjes algebra of a C*-dynamical system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Erik B\\'edos, Roberto Conti","submitted_at":"2015-10-12T14:20:43Z","abstract_excerpt":"In analogy with the Fourier-Stieltjes algebra of a group, we associate to a unital discrete twisted C*-dynamical system a Banach algebra whose elements are coefficients of equivariants representations of the system. Building upon our previous work, we show that this Fourier-Stieltjes algebra embeds continuously in the Banach algebra of completely bounded multipliers of the (reduced or full) C*-crossed product of the system. We also introduce a notion of positive definiteness and prove a Gelfand-Raikov type theorem allowing us to describe the Fourier-Stieltjes algebra of a system in a more intr"},"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":"1510.03296","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-10-12T14:20:43Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"27c5cc2913f024a7c94238e2bb0928cf09efd3a668f2bbbcbae9e0fd574ed36f","abstract_canon_sha256":"30fee346be15e4491401bac91e7fd120bef803c0c81a99d55c133be0da1b2673"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:02.442393Z","signature_b64":"xkyDBUOVFf8r9mV9UhcUknIewRKSbnvlDkANJ+mNA73AbvJ/dURX5Qz0/pQix/umhAFqNnPssiTFqmNOiURPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ee6197f298ea09af707f6f6a5a091781ac51dbe83f5bcfeab0759a3c9473035","last_reissued_at":"2026-05-18T00:26:02.441788Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:02.441788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Fourier-Stieltjes algebra of a C*-dynamical system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Erik B\\'edos, Roberto Conti","submitted_at":"2015-10-12T14:20:43Z","abstract_excerpt":"In analogy with the Fourier-Stieltjes algebra of a group, we associate to a unital discrete twisted C*-dynamical system a Banach algebra whose elements are coefficients of equivariants representations of the system. Building upon our previous work, we show that this Fourier-Stieltjes algebra embeds continuously in the Banach algebra of completely bounded multipliers of the (reduced or full) C*-crossed product of the system. We also introduce a notion of positive definiteness and prove a Gelfand-Raikov type theorem allowing us to describe the Fourier-Stieltjes algebra of a system in a more intr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03296","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":"1510.03296","created_at":"2026-05-18T00:26:02.441904+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.03296v2","created_at":"2026-05-18T00:26:02.441904+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03296","created_at":"2026-05-18T00:26:02.441904+00:00"},{"alias_kind":"pith_short_12","alias_value":"B3TBS7ZJR2QJ","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"B3TBS7ZJR2QJV5YH","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"B3TBS7ZJ","created_at":"2026-05-18T12:29:14.074870+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/B3TBS7ZJR2QJV5YH633KLIERPA","json":"https://pith.science/pith/B3TBS7ZJR2QJV5YH633KLIERPA.json","graph_json":"https://pith.science/api/pith-number/B3TBS7ZJR2QJV5YH633KLIERPA/graph.json","events_json":"https://pith.science/api/pith-number/B3TBS7ZJR2QJV5YH633KLIERPA/events.json","paper":"https://pith.science/paper/B3TBS7ZJ"},"agent_actions":{"view_html":"https://pith.science/pith/B3TBS7ZJR2QJV5YH633KLIERPA","download_json":"https://pith.science/pith/B3TBS7ZJR2QJV5YH633KLIERPA.json","view_paper":"https://pith.science/paper/B3TBS7ZJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.03296&json=true","fetch_graph":"https://pith.science/api/pith-number/B3TBS7ZJR2QJV5YH633KLIERPA/graph.json","fetch_events":"https://pith.science/api/pith-number/B3TBS7ZJR2QJV5YH633KLIERPA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B3TBS7ZJR2QJV5YH633KLIERPA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B3TBS7ZJR2QJV5YH633KLIERPA/action/storage_attestation","attest_author":"https://pith.science/pith/B3TBS7ZJR2QJV5YH633KLIERPA/action/author_attestation","sign_citation":"https://pith.science/pith/B3TBS7ZJR2QJV5YH633KLIERPA/action/citation_signature","submit_replication":"https://pith.science/pith/B3TBS7ZJR2QJV5YH633KLIERPA/action/replication_record"}},"created_at":"2026-05-18T00:26:02.441904+00:00","updated_at":"2026-05-18T00:26:02.441904+00:00"}