Every AF-algebra is Morita equivalent to a graph algebra

2003/10/27 by Jason Tyler, Tyler, Jason
Mathematics · #46L05 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L05

paper · pdf · doi:10.48550/arxiv.math/0310416

4 pages

arxiv created 2003/10/27 · arxiv updated 2009/12/01

Abstract

We show how to modify any Bratteli diagram E for an AF-algebra A to obtain a Bratteli diagram KE for A whose graph algebra C^*(KE) contains both A and C^*(E) as full corners.

Related

• Viewing AF-algebras as graph algebras
• Twisted k-graph algebras associated to Bratteli diagrams
• Rank-two graphs whose C^*-algebras are direct limits of circle algebras
• Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence
• Moves on k-graphs preserving Morita equivalence