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Decomposability of graph $C^*$-algebras

Author(s): Jeong Hee Hong
Journal: Proc. Amer. Math. Soc. 133 (2005), 115-126.
MSC (2000): Primary 46L05
Posted: August 20, 2004
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Abstract: We give conditions on an arbitrary directed graph $E$ for the associated Cuntz-Krieger algebra $C^*(E)$ to be decomposable as a direct sum. We describe the direct summands as certain graph algebras.

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Additional Information:

Jeong Hee Hong
Affiliation: Applied Mathematics, Korea Maritime University, Busan 606--791, South Korea
Email: hongjh@hanara.kmaritime.ac.kr

DOI: 10.1090/S0002-9939-04-07604-X
PII: S 0002-9939(04)07604-X
Keywords: Generalized Cuntz-Krieger algebras, directed graphs, graph algebras, ideals
Received by editor(s): September 4, 2003
Posted: August 20, 2004
Additional Notes: This work was supported by Korea Research Foundation Grant (KRF-2003-015-C00034)
Communicated by: David R. Larson
Copyright of article: Copyright 2004, American Mathematical Society

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Jeong Hee Hong, Decomposability of graph C^*-algebras, Proc. Amer. Math. Soc. 133 (2005), posted on 08/24/2004, 115-126. (English)

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