{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GOF54CCS55GTJNJ2TIQEI524ZP","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":"8b35f7f1b92470290215807b83831ed1de3da5140356ba8fb0d5954d2271266c","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-04-05T16:52:06Z","title_canon_sha256":"1ca38c807b85b91aaefc281f390c41e8eac01b4c2d7b04941561cfaabdcf1707"},"schema_version":"1.0","source":{"id":"1404.1906","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1906","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1906v3","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1906","created_at":"2026-05-18T00:08:01Z"},{"alias_kind":"pith_short_12","alias_value":"GOF54CCS55GT","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GOF54CCS55GTJNJ2","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GOF54CCS","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:b36fd23dd00d3f47e51ef6846abfb0e0ef00ccf3365ff86c63a5d567a5c3bcba","target":"graph","created_at":"2026-05-18T00:08:01Z","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 examine the semicrossed products of a semigroup action by $*$-endomorphisms on a C*-algebra, or more generally of an action on an arbitrary operator algebra by completely contractive endomorphisms. The choice of allowable representations affects the corresponding universal algebra. We seek quite general conditions which will allow us to show that the C*-envelope of the semicrossed product is (a full corner of) a crossed product of an auxiliary C*-algebra by a group action.\n  Our analysis concerns a case-by-case dilation theory on covariant pairs. In the process we determine the C*-envelope ","authors_text":"Adam H. Fuller, Evgenios T.A. Kakariadis, Kenneth R. Davidson","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-04-05T16:52:06Z","title":"Semicrossed Products of Operator Algebras by Semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1906","kind":"arxiv","version":3},"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":"sha256:57f11d0b166f9663cb8c1b3687cb49602c058031b1c65205dc8097f570fda5b4","target":"record","created_at":"2026-05-18T00:08:01Z","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":"8b35f7f1b92470290215807b83831ed1de3da5140356ba8fb0d5954d2271266c","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-04-05T16:52:06Z","title_canon_sha256":"1ca38c807b85b91aaefc281f390c41e8eac01b4c2d7b04941561cfaabdcf1707"},"schema_version":"1.0","source":{"id":"1404.1906","kind":"arxiv","version":3}},"canonical_sha256":"338bde0852ef4d34b53a9a2044775ccbc2bf5700460eb3d08742fa9d9a0869dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"338bde0852ef4d34b53a9a2044775ccbc2bf5700460eb3d08742fa9d9a0869dc","first_computed_at":"2026-05-18T00:08:01.116969Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:01.116969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/nphQbvNhPSCA6+fvGSs7zys01lIahAWLCG/2OtRGHHApnfto7cRJ7FijcC3n5GFTSiFDVXAqkBbAyJnjtSSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:01.117664Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.1906","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57f11d0b166f9663cb8c1b3687cb49602c058031b1c65205dc8097f570fda5b4","sha256:b36fd23dd00d3f47e51ef6846abfb0e0ef00ccf3365ff86c63a5d567a5c3bcba"],"state_sha256":"43133ded7fac3ced0bdc2f137f19174ddaa03346df700a5ddcf7d25ccd7e66b5"}