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Contractible subgraphs and Morita equivalence of graph  -algebras
Author(s):
Tyrone
Crisp;
Daniel
Gow
Journal:
Proc. Amer. Math. Soc.
134
(2006),
2003-2013.
MSC (2000):
Primary 46L55
Posted:
February 17, 2006
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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.
References:
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Additional Information:
Tyrone
Crisp
Affiliation:
School of Mathematical and Physical Sciences,
The University of Newcastle, Callaghan, 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:
10.1090/S0002-9939-06-08216-5
PII:
S 0002-9939(06)08216-5
Received by editor(s):
June 16, 2004
Received by editor(s) in revised form:
February 9, 2005
Posted:
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
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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