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

Published electronically:
October 28, 2005

MathSciNet review:
2204279

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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.

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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

Keywords:
Directed graph,
$C^*$-correspondence,
graph $C^*$-algebra,
Cuntz-Pimsner algebra

Received by editor(s):
January 3, 2005

Published electronically:
October 28, 2005

Communicated by:
David R. Larson

Article copyright:
© Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.