A direct approach to co-universal algebras associated to directed graphs

2009/12/17 by Sims, Aidan, Webster, Samuel B. G.
#46L05 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0912.3303

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.

Related

• The co-universal C*-algebra of a row-finite graph
• Co-universal C*-algebras associated to aperiodic k-graphs
• K-theory of C^*-algebras of directed graphs
• Co-universal C*-algebras associated to generalised graphs
• A generalized Cuntz-Krieger uniqueness theorem for higher rank graphs