A direct approach to co-universal algebras associated to directed graphs
Operator Algebras
2010-01-13 v2
Abstract
We prove directly that if E is a directed graph in which every cycle has an entrance, then there exists a C*-algebra which is co-universal for Toeplitz-Cuntz-Krieger E-families. In particular, our proof does not invoke ideal-structure theory for graph algebras, nor does it involve use of the gauge action or its fixed point algebra.
Keywords
Cite
@article{arxiv.0912.3303,
title = {A direct approach to co-universal algebras associated to directed graphs},
author = {Aidan Sims and Samuel B. G. Webster},
journal= {arXiv preprint arXiv:0912.3303},
year = {2010}
}
Comments
9 pages; V2: the definition of a Toeplitz-Cuntz-Krieger $E$-family has been corrected