Contractible subgraphs and Morita equivalence of graph $C^*$-algebras
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- by Tyrone Crisp and Daniel Gow PDF
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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 $C^*$-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, Calla- ghan, NSW 2308, Australia
- Address at time of publication: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
- MR Author ID: 782294
- 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
- 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
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2003-2013
- MSC (2000): Primary 46L55
- DOI: https://doi.org/10.1090/S0002-9939-06-08216-5
- MathSciNet review: 2215769