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AF-Embeddings of Graph Algebras

2014/05/30 by Christopher Schafhauser, Schafhauser, Christopher · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.1405.7757

arxiv created 2014/05/30 · openalex publication_date 2014/05/30 · arxiv updated 2014/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let E be a countable directed graph. We show that C^*(E) is AF-embeddable if and only if no loop in E has an entrance. The proof is constructive and is in the same spirit as the Drinen-Tomforde desingularization.

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