{"paper":{"title":"The structure of crossed products by endomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Eduard Ortega, Enrique Pardo","submitted_at":"2011-09-19T16:06:26Z","abstract_excerpt":"We describe simplicity of the Stacey crossed product A\\times_\\beta \\N in terms of conditions of the endomorphism \\beta. Then, we use a characterization of the graph C*-algebras C*(E) as the Stacey crossed product C*(E)^\\gamma\\times_{\\beta_E}\\N to study its ideal properties, in terms of the (non-classical) C*-dynamical system (C*(E)^\\gamma, \\beta_E). Finally, we give sufficient conditions for the Stacey crossed product A\\times_\\beta \\N being a purely infinite simple C*-algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4073","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"}