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

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.

9 pages; V2: the definition of a Toeplitz-Cuntz-Krieger $E$-family has been corrected

Cited by in corpus (3)

• Co-universal C*-algebras associated to generalised graphs
• When universal edge-colored directed graph $C^{\ast }$-algebras are exact
• Co-universal C*-algebras associated to aperiodic k-graphs