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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Decomposability of graph $C^*$-algebras
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by Jeong Hee Hong PDF
Proc. Amer. Math. Soc. 133 (2005), 115-126 Request permission

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
  • Received by editor(s): September 4, 2003
  • Published electronically: August 20, 2004
  • Additional Notes: This work was supported by Korea Research Foundation Grant (KRF-2003-015-C00034)
  • Communicated by: David R. Larson
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 115-126
  • MSC (2000): Primary 46L05
  • DOI: https://doi.org/10.1090/S0002-9939-04-07604-X
  • MathSciNet review: 2085160