A Direct Approach to Co-Universal Algebras Associated to Directed Graphs

A Direct Approach to Co-Universal Algebras Associated to Directed Graphs

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 a...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2010-01, Vol.33 (2)
Hauptverfasser: Sims, Aidan, Webster, B G
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
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Zusammenfassung: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.
ISSN:0126-6705
2180-4206