paper

Viewing AF-algebras as graph algebras

arXiv:math/9804101

Abstract

Every AF-algebra arises as a graph algebra in the sense of Kumjian, Pask, Raeburn, and Renault. For AF-algebras, the diagonal subalgebra defined by Stratila and Voiculescu is consistent with Kumjian's notion of diagonal, and the groupoid arising from a well-chosen Bratteli diagram for A coincides with Kumjian's twist groupoid constructed from a diagonal of A.

11 pages LaTeX. Uses pb-diagram.sty

Viewing AF-algebras as graph algebras · wovepaper