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

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

2009-12-17

arxiv.org/abs/0912.3303v2

Mathematics

Operator Algebras

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

Scientific paper

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.

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