{"paper":{"title":"Flow equivalence of graph algebras","license":"","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"David Pask, Teresa Bates","submitted_at":"2002-12-18T05:02:34Z","abstract_excerpt":"This paper explores the effect of various graphical constructions upon the associated graph $C^*$-algebras. The graphical constructions in question arise naturally in the study of flow equivalence for topological Markov chains.\n We prove that out-splittings give rise to isomorphic graph algebras, and in-splittings give rise to strongly Morita equivalent $C^*$-algebras. We generalise the notion of a delay as defined by Drinen to form in-delays and out-delays. We prove that these constructions give rise to Morita equivalent graph $C^*$-algebras. We provide examples which suggest that our results"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0212241","kind":"arxiv","version":2},"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"}