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Bundles of  -correspondences over directed graphs and a theorem of Ionescu
Author(s):
John
Quigg
Journal:
Proc. Amer. Math. Soc.
134
(2006),
1677-1679.
MSC (2000):
Primary 46L08
Posted:
October 28, 2005
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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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- Ionescu, M., Operator Algebras and Mauldin Williams Graphs, Rocky Mountain J. Math. (to appear).
- 4.
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 -algebras generalizing both graph algebras and homeomorphism  -algebras, I, Trans. Amer. Math. Soc. 356 (2004), no. 11, 4287-4322 (electronic). MR 2067120 (2005b:46119) - 5.
- Katsura, T., On
 -algebras associated with  -correspondences, J. Funct. Anal. 217 (2004), no. 2, 366-401. MR 2102572 (2005e:46099) - 6.
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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:
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
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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