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The stable rank of full corners in C*-algebras
Authors:Bruce Blackadar
Institution:Department of Mathematics/084, University of Nevada, Reno, Reno, Nevada 89557
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 $A$.

Keywords:C*-algebra  stable rank
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