Contractible subgraphs and Morita equivalence of graph -algebras

Authors:
Tyrone Crisp and Daniel Gow

Journal:
Proc. Amer. Math. Soc. **134** (2006), 2003-2013

MSC (2000):
Primary 46L55

DOI:
https://doi.org/10.1090/S0002-9939-06-08216-5

Published electronically:
February 17, 2006

MathSciNet review:
2215769

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we describe an operation on directed graphs which produces a graph with fewer vertices, such that the -algebra of the new graph is Morita equivalent to that of the original graph. We unify and generalize several related constructions, notably delays and desingularizations of directed graphs.

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Additional Information

**Tyrone Crisp**

Affiliation:
School of Mathematical and Physical Sciences, The University of Newcastle, Calla- ghan, NSW 2308, Australia

Address at time of publication:
Department of Mathematics, Penn State University, University Park, Pennsylvania 16802

Email:
tyrone.crisp@studentmail.newcastle.edu.au

**Daniel Gow**

Affiliation:
School of Mathematics, The University of New South Wales, Sydney NSW 2052, Australia

Email:
danielg@maths.unsw.edu.au

DOI:
https://doi.org/10.1090/S0002-9939-06-08216-5

Received by editor(s):
June 16, 2004

Received by editor(s) in revised form:
February 9, 2005

Published electronically:
February 17, 2006

Additional Notes:
This research was supported by grants from the Australian Research Council. We thank Iain Raeburn of the University of Newcastle for helping us obtain this support.

Communicated by:
David R. Larson

Article copyright:
© Copyright 2006
American Mathematical Society

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