Contractible subgraphs and Morita equivalence of graph C^-algebras

Contractible subgraphs and Morita equivalence of graph C^-algebras

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 directe...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2006-07, Vol.134 (7), p.2003-2013
Hauptverfasser: CRISP, Tyrone, GOW, Daniel
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
College mathematics
Directed acyclic graphs
Equivalence relation
Exact sciences and technology
Finite sums
Functional analysis
Graph theory
Mathematical analysis
Mathematical theorems
Mathematics
Sciences and techniques of general use
Uniqueness
Vertices
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-06-08216-5