Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras

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dc.creatorKatsura, Takeshi
dc.creatorSims, Aidan
dc.creatorTomforde, Mark
dc.date2008-10-22
dc.date2009-05-24
dc.date.accessioned2026-07-07T13:17:17Z
dc.date.available2026-07-07T13:17:17Z
dc.descriptionWe give various necessary and sufficient conditions for an AF-algebra to be isomorphic to a graph C*-algebra, an Exel-Laca algebra, and an ultragraph C*-algebra. We also explore consequences of these results. In particular, we show that all stable AF-algebras are both graph C*-algebras and Exel-Laca algebras, and that all simple AF-algebras are either graph C*-algebras or Exel-Laca algebras. In addition, we obtain a characterization of AF-algebras that are isomorphic to the C*-algebra of a row-finite graph with no sinks.
dc.description34 pages, Version 2 comments: Some minor typos corrected; Version 3 comments: Some typos corrected. This is the version to appear
dc.identifierhttps://arxiv.org/abs/0810.4091
dc.identifierhttp://arxiv.org/abs/0810.4091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231066
dc.subjectOperator Algebras
dc.subject46L55
dc.titleRealizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras
dc.typetext

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