Stable rank of graph algebras. Type I graph algebras and their limits

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dc.creatorDeicke, Klaus
dc.creatorHong, Jeong Hee
dc.creatorSzymanski, Wojciech
dc.date2002-11-08
dc.date.accessioned2026-07-07T04:52:47Z
dc.date.available2026-07-07T04:52:47Z
dc.descriptionFor an arbitrary countable directed graph E we show that the only possible values of the stable rank of the associated Cuntz-Krieger algebra C*(E) are 1, 2 or \infty. Explicit criteria for each of these three cases are given. We characterize graph algebras of type I, and graph algebras which are inductive limits of C*-algebras of type I. We also show that a gauge-invariant ideal of a graph algebra is itself isomorphic to a graph algebra.
dc.description13 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0211144
dc.identifierhttp://arxiv.org/abs/math/0211144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65598
dc.subjectOperator Algebras
dc.subject46L99
dc.titleStable rank of graph algebras. Type I graph algebras and their limits
dc.typetext

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