{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:2UZUEM3F777TSROEHBOA52ZNSC","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":"5dc1da567b2bf4021e330994328ebefb75186243343a67c4c510aefc8e42424b","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2009-06-28T10:39:50Z","title_canon_sha256":"eefe5eaf4c8b8e1b07e5bc8288ee9d4348d8c97935c30ae3979b358c0e6ea740"},"schema_version":"1.0","source":{"id":"0906.5128","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.5128","created_at":"2026-05-18T04:16:53Z"},{"alias_kind":"arxiv_version","alias_value":"0906.5128v2","created_at":"2026-05-18T04:16:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.5128","created_at":"2026-05-18T04:16:53Z"},{"alias_kind":"pith_short_12","alias_value":"2UZUEM3F777T","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2UZUEM3F777TSROE","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2UZUEM3F","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:a4c4173c8f0d0ee023325ac26c45f7f50b7e6755ba313e6fb613012157a2f713","target":"graph","created_at":"2026-05-18T04:16:53Z","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":"We show that the multiplier algebra of the Fourier algebra on a locally compact group $G$ can be isometrically represented on a direct sum on non-commutative $L^p$ spaces associated to the right von Neumann algebra of $G$. If these spaces are given their canonical Operator space structure, then we get a completely isometric representation of the completely bounded multiplier algebra. We make a careful study of the non-commutative $L^p$ spaces we construct, and show that they are completely isometric to those considered recently by Forrest, Lee and Samei; we improve a result about module homomo","authors_text":"Matthew Daws","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2009-06-28T10:39:50Z","title":"Representing multipliers of the Fourier algebra on non-commutative $L^p$ spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.5128","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":"sha256:4d6dbbd445fd44beaf5b8ff3f5ad6112d8eb54d255882c4aebc5827652683257","target":"record","created_at":"2026-05-18T04:16:53Z","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":"5dc1da567b2bf4021e330994328ebefb75186243343a67c4c510aefc8e42424b","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2009-06-28T10:39:50Z","title_canon_sha256":"eefe5eaf4c8b8e1b07e5bc8288ee9d4348d8c97935c30ae3979b358c0e6ea740"},"schema_version":"1.0","source":{"id":"0906.5128","kind":"arxiv","version":2}},"canonical_sha256":"d533423365ffff3945c4385c0eeb2d909b5411d05f9a1b899e6fd41a8410efa5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d533423365ffff3945c4385c0eeb2d909b5411d05f9a1b899e6fd41a8410efa5","first_computed_at":"2026-05-18T04:16:53.743209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:53.743209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3CF2h/YCCxBgApA7W4Znq/pJO6yVDD1JzxwGabGPNrhXxUePLva5htn3yuY+01llqdYe5qhKSpijCxpqWmPsAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:53.743711Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.5128","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d6dbbd445fd44beaf5b8ff3f5ad6112d8eb54d255882c4aebc5827652683257","sha256:a4c4173c8f0d0ee023325ac26c45f7f50b7e6755ba313e6fb613012157a2f713"],"state_sha256":"5c7598b27544416cd2609ef30e9e328941894da7c0161d83be7145f4f8f7b87c"}