{"paper":{"title":"Conjugate Dynamical Systems on C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Evgenios T. A. Kakariadis, Kenneth R. Davidson","submitted_at":"2012-05-14T13:27:12Z","abstract_excerpt":"Let $(A, \\alpha)$ and $(B, \\beta)$ be C*-dynamical systems where $\\alpha$ and $\\beta$ are arbitrary *-endomorphisms. When $\\alpha$ is injective or surjective, we show that the semicrossed products $A \\times_\\alpha \\mathbb{Z}$ and $B \\times_\\beta \\mathbb{Z}$ are isometrically isomorphic if and only if $(A, \\alpha)$ and $(B, \\beta)$ are outer conjugate. This conclusion also holds in various other cases as well."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3016","kind":"arxiv","version":1},"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"}