{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XGLAJOFYW57DFFXXSFUAP5BD6V","short_pith_number":"pith:XGLAJOFY","canonical_record":{"source":{"id":"1408.1946","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-08-08T19:44:00Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"90cf2ad63b97a0f918ebba6e93cab99d8bd5731f730da509594010c325005210","abstract_canon_sha256":"97f04aa52280fb1fa7ad7e9c475e1206c7e86c16678f2a8783965df89e28a6d1"},"schema_version":"1.0"},"canonical_sha256":"b99604b8b8b77e3296f7916807f423f56e3c28f83b75ad17bd1b5c12d3abcb55","source":{"kind":"arxiv","id":"1408.1946","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1946","created_at":"2026-05-18T01:13:28Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1946v4","created_at":"2026-05-18T01:13:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1946","created_at":"2026-05-18T01:13:28Z"},{"alias_kind":"pith_short_12","alias_value":"XGLAJOFYW57D","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XGLAJOFYW57DFFXX","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XGLAJOFY","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XGLAJOFYW57DFFXXSFUAP5BD6V","target":"record","payload":{"canonical_record":{"source":{"id":"1408.1946","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-08-08T19:44:00Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"90cf2ad63b97a0f918ebba6e93cab99d8bd5731f730da509594010c325005210","abstract_canon_sha256":"97f04aa52280fb1fa7ad7e9c475e1206c7e86c16678f2a8783965df89e28a6d1"},"schema_version":"1.0"},"canonical_sha256":"b99604b8b8b77e3296f7916807f423f56e3c28f83b75ad17bd1b5c12d3abcb55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:28.899958Z","signature_b64":"VIt3kQsEtv0lFQ9UG076hvQhQqh7azQYIKV6sACEX27xDo5qDBZX68l8bkPhUCxrmburA//qPWO7Og+LWx8/Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b99604b8b8b77e3296f7916807f423f56e3c28f83b75ad17bd1b5c12d3abcb55","last_reissued_at":"2026-05-18T01:13:28.899431Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:28.899431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.1946","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r3KXPSt1MeN9nwD7QyDeq8M/YkrKKg/q58jdg3W36d/1oLwnTQq3z3zMKQLU/Oj9W676QKG0isotjO25TP/sAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:44:53.300927Z"},"content_sha256":"83306733cfb8f5e5558013d557624f96b8c614546b34bc3158c93a2c20542d01","schema_version":"1.0","event_id":"sha256:83306733cfb8f5e5558013d557624f96b8c614546b34bc3158c93a2c20542d01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XGLAJOFYW57DFFXXSFUAP5BD6V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crossed products by compact group actions with the Rokhlin property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Eusebio Gardella","submitted_at":"2014-08-08T19:44:00Z","abstract_excerpt":"We present a systematic study of the structure of crossed products and fixed point algebras by compact group actions with the Rokhlin property on not necessarily unital C*-algebras. Our main technical result is the existence of an approximate homomorphism from the algebra to its subalgebra of fixed points, which is a left inverse for the canonical inclusion. Upon combining this with results regarding local approximations, we show that a number of classes characterized by inductive limit decompositions with weakly semiprojective building blocks, are closed under formation of crossed products by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1946","kind":"arxiv","version":4},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IPebA49WRSaZz13G5AMULCXebW6U0uYZ143xDUM0khMIgc5jbtNS9u6MVzrbk9bYAvfpwSZjzLjMW7AHSREzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:44:53.301555Z"},"content_sha256":"1613de866d3703eb6c603cf09058499a08f680ad6d46373dacbb36f0482730f9","schema_version":"1.0","event_id":"sha256:1613de866d3703eb6c603cf09058499a08f680ad6d46373dacbb36f0482730f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XGLAJOFYW57DFFXXSFUAP5BD6V/bundle.json","state_url":"https://pith.science/pith/XGLAJOFYW57DFFXXSFUAP5BD6V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XGLAJOFYW57DFFXXSFUAP5BD6V/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T13:44:53Z","links":{"resolver":"https://pith.science/pith/XGLAJOFYW57DFFXXSFUAP5BD6V","bundle":"https://pith.science/pith/XGLAJOFYW57DFFXXSFUAP5BD6V/bundle.json","state":"https://pith.science/pith/XGLAJOFYW57DFFXXSFUAP5BD6V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XGLAJOFYW57DFFXXSFUAP5BD6V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XGLAJOFYW57DFFXXSFUAP5BD6V","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":"97f04aa52280fb1fa7ad7e9c475e1206c7e86c16678f2a8783965df89e28a6d1","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-08-08T19:44:00Z","title_canon_sha256":"90cf2ad63b97a0f918ebba6e93cab99d8bd5731f730da509594010c325005210"},"schema_version":"1.0","source":{"id":"1408.1946","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1946","created_at":"2026-05-18T01:13:28Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1946v4","created_at":"2026-05-18T01:13:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1946","created_at":"2026-05-18T01:13:28Z"},{"alias_kind":"pith_short_12","alias_value":"XGLAJOFYW57D","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XGLAJOFYW57DFFXX","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XGLAJOFY","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:1613de866d3703eb6c603cf09058499a08f680ad6d46373dacbb36f0482730f9","target":"graph","created_at":"2026-05-18T01:13:28Z","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 present a systematic study of the structure of crossed products and fixed point algebras by compact group actions with the Rokhlin property on not necessarily unital C*-algebras. Our main technical result is the existence of an approximate homomorphism from the algebra to its subalgebra of fixed points, which is a left inverse for the canonical inclusion. Upon combining this with results regarding local approximations, we show that a number of classes characterized by inductive limit decompositions with weakly semiprojective building blocks, are closed under formation of crossed products by","authors_text":"Eusebio Gardella","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-08-08T19:44:00Z","title":"Crossed products by compact group actions with the Rokhlin property"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1946","kind":"arxiv","version":4},"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":"sha256:83306733cfb8f5e5558013d557624f96b8c614546b34bc3158c93a2c20542d01","target":"record","created_at":"2026-05-18T01:13:28Z","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":"97f04aa52280fb1fa7ad7e9c475e1206c7e86c16678f2a8783965df89e28a6d1","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-08-08T19:44:00Z","title_canon_sha256":"90cf2ad63b97a0f918ebba6e93cab99d8bd5731f730da509594010c325005210"},"schema_version":"1.0","source":{"id":"1408.1946","kind":"arxiv","version":4}},"canonical_sha256":"b99604b8b8b77e3296f7916807f423f56e3c28f83b75ad17bd1b5c12d3abcb55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b99604b8b8b77e3296f7916807f423f56e3c28f83b75ad17bd1b5c12d3abcb55","first_computed_at":"2026-05-18T01:13:28.899431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:28.899431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VIt3kQsEtv0lFQ9UG076hvQhQqh7azQYIKV6sACEX27xDo5qDBZX68l8bkPhUCxrmburA//qPWO7Og+LWx8/Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:28.899958Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.1946","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83306733cfb8f5e5558013d557624f96b8c614546b34bc3158c93a2c20542d01","sha256:1613de866d3703eb6c603cf09058499a08f680ad6d46373dacbb36f0482730f9"],"state_sha256":"5836e16594f3f19a0e8759ca6747d87afc6d2a6bd41de116418dfee6be6c6f8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rACgLxQSakBY/ckU9PVhAwjzVRBFYaFnIInen8llH8gWg4bf7cVwrButGzSKGCzZsRHIJ2nSpyK7G90MZtjkCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T13:44:53.304838Z","bundle_sha256":"a894860499826d8b7b7570a022e1720de2d913d1b6e03983b6520247824aa12c"}}