{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IIA23OSNR2Q2ED5HAU3HQAMTE4","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":"41cdcf6ce8fc59b8e50bdafaa04da90cd47faf38e69fa6fa84b0d17622459114","cross_cats_sorted":["math.FA"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.OA","submitted_at":"2010-08-13T19:10:46Z","title_canon_sha256":"2040bac9ade6d7cb0d5ae9454d2429c1ff12ec8aaa656b25a4c89acd8cebc88c"},"schema_version":"1.0","source":{"id":"1008.2374","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2374","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2374v1","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2374","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"IIA23OSNR2Q2","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IIA23OSNR2Q2ED5H","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IIA23OSN","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:b48fae94ff21f0dcb8a1a4210afa27998f1fdc00a7f4e04b903ad9bfdbffacb7","target":"graph","created_at":"2026-05-18T02:54:47Z","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 $\\A$ be a unital operator algebra and let $\\alpha$ be an automorphism of $\\A$ that extends to a *-automorphism of its $\\ca$-envelope $\\cenv (\\A)$. In this paper we introduce the isometric semicrossed product $\\A \\times_{\\alpha}^{\\is} \\bbZ^+ $ and we show that $\\cenv(\\A \\times_{\\alpha}^{\\is} \\bbZ^+) \\simeq \\cenv (\\A) \\times_{\\alpha} \\bbZ$. In contrast, the $\\ca$-envelope of the familiar contractive semicrossed product $\\A \\times_{\\alpha} \\bbZ^+ $ may not equal $\\cenv (\\A) \\times_{\\alpha} \\bbZ$. Our main tool for calculating $\\ca$-envelopes for semicrossed products is the concept of a relati","authors_text":"Elias Katsoulis, Evgenios Kakariadis","cross_cats":["math.FA"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.OA","submitted_at":"2010-08-13T19:10:46Z","title":"Semicrossed products of operator algebras and their C*-envelopes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2374","kind":"arxiv","version":1},"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:be609509121063847f99be85a6f631340de22a2dde04d412fd9cafa367e9f81f","target":"record","created_at":"2026-05-18T02:54:47Z","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":"41cdcf6ce8fc59b8e50bdafaa04da90cd47faf38e69fa6fa84b0d17622459114","cross_cats_sorted":["math.FA"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.OA","submitted_at":"2010-08-13T19:10:46Z","title_canon_sha256":"2040bac9ade6d7cb0d5ae9454d2429c1ff12ec8aaa656b25a4c89acd8cebc88c"},"schema_version":"1.0","source":{"id":"1008.2374","kind":"arxiv","version":1}},"canonical_sha256":"4201adba4d8ea1a20fa705367801932737c8b360f5fac2922129819936431c2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4201adba4d8ea1a20fa705367801932737c8b360f5fac2922129819936431c2d","first_computed_at":"2026-05-18T02:54:47.568950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:47.568950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TNcW24M8W98kxvX80fEOBsVfMgSFWUK8r4dNQkFy4yXiC1P6Wpd/Uf7D7l1mo2K7wNwUDM9ZZgpn6Dka+aVoDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:47.569543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.2374","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be609509121063847f99be85a6f631340de22a2dde04d412fd9cafa367e9f81f","sha256:b48fae94ff21f0dcb8a1a4210afa27998f1fdc00a7f4e04b903ad9bfdbffacb7"],"state_sha256":"e5621fcb8c4062a545b53ba256e89d2682a95bd2f30c70011c2eccb7ab744fe0"}