A class of simple C*-algebras with stable rank one

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dc.creatorElliott, George A.
dc.creatorHo, Toan M.
dc.creatorToms, Andrew S.
dc.date2007-03-13
dc.date.accessioned2026-07-07T07:51:43Z
dc.date.available2026-07-07T07:51:43Z
dc.descriptionWe study the limits of inductive sequences (A_i,ϕ_i) where each A_i is a direct sum of full matrix algebras over compact metric spaces and each partial map of ϕ_i is diagonal. We give a new characterisation of simplicity for such algebras, and apply it to prove that the said algebras have stable rank one whenever they are simple and unital. Significantly, our results do not require any dimension growth assumption.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0703393
dc.identifierhttp://arxiv.org/abs/math/0703393
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125618
dc.subjectOperator Algebras
dc.subject46L35; 46L80
dc.titleA class of simple C*-algebras with stable rank one
dc.typetext

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