A Direct Approach to Co-Universal Algebras Associated to Directed Graphs
Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 2
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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.
Classification :
Primary: 46L05.
@article{BMMS_2010_33_2_a4,
author = {Aidan Sims and Samuel B. G. Webster},
title = {A {Direct} {Approach} to {Co-Universal} {Algebras} {Associated} to {Directed} {Graphs}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2010},
volume = {33},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2010_33_2_a4/}
}
Aidan Sims; Samuel B. G. Webster. A Direct Approach to Co-Universal Algebras Associated to Directed Graphs. Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2010_33_2_a4/