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Bundles of  -correspondences over directed graphs and a theorem of Ionescu
Author:
John Quigg
Journal:
Proc. Amer. Math. Soc. 134 (2006), 1677-1679
MSC (2000):
Primary 46L08
Posted:
October 28, 2005
MathSciNet review:
2204279
Full-text PDF Free Access
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Abstract: We give a short proof of a recent theorem of Ionescu which shows that the Cuntz-Pimsner  -algebra of a certain correspondence associated to a Mauldin-Williams graph is isomorphic to the graph algebra.
References
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Edgar, G. A., Measure, topology, and fractal geometry, Undergraduate Texts in Mathematics, Springer-Verlag, New York, 1990. MR 1065392 (92a:54001)
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Ionescu, M., Operator Algebras and Mauldin Williams Graphs, Rocky Mountain J. Math. (to appear).
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Katsura, T., A class of
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Additional Information
John Quigg
Affiliation:
Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona 85287
Email:
quigg@math.asu.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-08212-2
PII:
S 0002-9939(05)08212-2
Keywords:
Directed graph,
$C^*$-correspondence,
graph $C^*$-algebra,
Cuntz-Pimsner algebra
Received by editor(s):
January 3, 2005
Posted:
October 28, 2005
Communicated by:
David R. Larson
Article copyright:
© Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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