{"paper":{"title":"Stable isomorphism and strong Morita equivalence of operator algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"G. K. Eleftherakis","submitted_at":"2014-04-14T20:09:13Z","abstract_excerpt":"We introduce a Morita type equivalence: two operator algebras $A$ and $B$ are called strongly $\\Delta $-equivalent if they have completely isometric representations $\\alpha $ and $\\beta $ respectively and there exists a ternary ring of operators $M$ such that $\\alpha (A)$ (resp. $\\beta (B)$) is equal to the norm closure of the linear span of the set $M^*\\beta (B)M, $ (resp. $M\\alpha (A)M^*$). We study the properties of this equivalence. We prove that if two operator algebras $A$ and $B,$ possessing countable approximate identities, are strongly $\\Delta $-equivalent, then the operator algebras "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3746","kind":"arxiv","version":3},"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"}