Ext classes and embeddings for C*-algebras of graphs with sinks
Operator Algebras
2007-05-23 v2
Abstract
We consider directed graphs E which have been obtained by adding a sink to a fixed graph G. We associate an element of Ext(C*(G)) to each such E, and show that the classes of two such graphs are equal in Ext(C*(G)) if and only if the associated C*-algebra of one can be embedded as a full corner in the C*-algebra of the other in a particular way. If every loop in G has an exit, then we are able to use this result to generalize some of the classification theorems of Raeburn, Tomforde, and Williams for C*-algebras of graphs with sinks.
Keywords
Cite
@article{arxiv.math/0103056,
title = {Ext classes and embeddings for C*-algebras of graphs with sinks},
author = {Mark Tomforde},
journal= {arXiv preprint arXiv:math/0103056},
year = {2007}
}
Comments
24 pages, uses XY-pic, New version comments: small typos fixed, to appear in New York J. Math