AF-embeddings of residually finite dimensional C*-algebras

2018/07/09 by Marius Dădărlat, Marius Dadarlat, Dadarlat, Marius
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #math.OA

paper · pdf · doi:10.48550/arxiv.1807.03230

A final version will appear in the Muenster Journal of Mathematics

arxiv created 2018/07/09 · openalex publication_date 2018/07/09 · arxiv updated 2018/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that a separable exact residually finite dimensional C*-algebra with locally finitely generated (rational) even K-homology embeds in a uniformly hyperfinite C*-algebra.

Related

• Homotopy invariance of AF-embeddability
• Elements of C^*-algebras Attaining Their Norm in a Finite-Dimensional Representation
• Continuous families of properly infinite C*-algebras
• Just-infinite C*-algebras and their invariants
• AF-embeddings into C*-algebras of real rank zero