The stable rank of full corners in C*-algebras

Blackadar, Bruce

doi:10.1090/S0002-9939-04-07148-5

The stable rank of full corners in C*-algebras
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Proc. Amer. Math. Soc. 132 (2004), 2945-2950 Request permission

Abstract:

We give a treatment of Rieffel’s theory of stable rank for C*-algebras in terms of left invertibility of generalized nonsquare matrices, and prove that if $p$ is a full projection in a unital C*-algebra $A$, then the stable rank of the corner $pAp$ is at least as large as the stable rank of $A$.

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