Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589648 | Journal of Functional Analysis | 2016 | 34 Pages |
Abstract
We characterise quasidiagonality of the C⁎C⁎-algebra of a cofinal k-graph in terms of an algebraic condition involving the coordinate matrices of the graph. This result covers all simple k -graph C⁎C⁎-algebras. In the special case of cofinal 2-graphs we further prove that AF-embeddability, quasidiagonality and stable finiteness of the 2-graph algebra are all equivalent.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lisa Orloff Clark, Astrid an Huef, Aidan Sims,