Viewing AF-algebras as graph algebras
Operator Algebras
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/9804101,
title = {Viewing AF-algebras as graph algebras},
author = {D. Drinen},
journal= {arXiv preprint arXiv:math/9804101},
year = {2007}
}
Comments
11 pages LaTeX. Uses pb-diagram.sty