Viewing AF-algebras as graph algebras
Viewing AF-algebras as graph algebras
Every AF-algebra $A$ arises as the $C^*$-algebra of a locally finite pointed directed graph in the sense of Kumjian, Pask, Raeburn, and Renault. For AF-algebras, the diagonal subalgebra defined by StrÇtilÇ and Voiculescu is consistent with Kumjianâs notion of diagonal, and the groupoid arising from a well-chosen Bratteli diagram for …