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Volume 33 • Number 2 • 2010
• A Direct Approach to Co-Universal Algebras Associated to Directed Graphs
Aidan Sims and Samuel B. G. Webster
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.

2000 Mathematics Subject Classification: Primary: 46L05.

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