Contractible subgraphs and Morita equivalence of graph C*-algebras

Tyrone Crisp; Daniel Gow

Contractible subgraphs and Morita equivalence of graph C*-algebras

Operator Algebras 2013-01-04 v1

Authors: Tyrone Crisp , Daniel Gow

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.

Keywords

graph c*-algebra morita equivalence directed graph contractible subgraph delay desingularization

Cite

@article{arxiv.math/0404542,
  title  = {Contractible subgraphs and Morita equivalence of graph C*-algebras},
  author = {Tyrone Crisp and Daniel Gow},
  journal= {arXiv preprint arXiv:math/0404542},
  year   = {2013}
}

Comments

10 pages, uses XY-pic v3.7

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