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

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

2007-03-13

arxiv.org/abs/math/0703393v1

Mathematics

Operator Algebras

14 pages

Scientific paper

We study the limits of inductive sequences (A_i,\phi_i) where each A_i is a direct sum of full matrix algebras over compact metric spaces and each partial map of \phi_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.

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