Stability of C*-algebras associated to graphs

dc.creatorTomforde, Mark
dc.date2002-05-15
dc.date2003-03-03
dc.date.accessioned2026-07-07T04:48:31Z
dc.date.available2026-07-07T04:48:31Z
dc.descriptionWe characterize stability of graph C*-algebras by giving five conditions equivalent to their stability. We also show that if G is a graph with no sources, then C*(G) is stable if and only if each vertex in G can be reached by an infinite number of vertices. We use this characterization to realize the stabilization of a graph C*-algebra. Specifically, if G is a graph and F is the graph formed by adding a head to each vertex of G, then C*(F) is the stabilization of C*(G).
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0205166
dc.identifierhttp://arxiv.org/abs/math/0205166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64076
dc.subjectOperator Algebras
dc.subject46L55
dc.titleStability of C*-algebras associated to graphs
dc.typetext

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