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

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We 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.
14 pages

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Operator Algebras, 46L35; 46L80

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http://salesiana.dossiersoluciones.com/handle/123456789/125618

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703393
 http://arxiv.org/abs/math/0703393

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arXiv