{"paper":{"title":"Order Preservation in Limit Algebras","license":"","headline":"","cross_cats":["math.DS","math.OA"],"primary_cat":"funct-an","authors_text":"Alan Hopenwasser, Allan Donsig","submitted_at":"1994-03-01T14:37:57Z","abstract_excerpt":"The matrix units of a digraph algebra,  A,  induce a relation, known as the diagonal order, on the projections in a masa in the algebra.  Normalizing partial isometries in  A  act on these projections by conjugation; they are said to be order preserving when they respect the diagonal order.  Order preserving embeddings, in turn, are those embeddings which carry order preserving normalizers to order preserving normalizers. This paper studies operator algebras which are direct limits of finite dimensional algebras with order preserving embeddings.  We give a complete classification of direct lim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"funct-an/9403001","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"}