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The stable rank of full corners in C*-algebras

Author(s): Bruce Blackadar
Journal: Proc. Amer. Math. Soc. 132 (2004), 2945-2950.
MSC (2000): Primary 46L05; Secondary 19B10
Posted: June 2, 2004
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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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Additional Information:

Bruce Blackadar
Affiliation: Department of Mathematics/084, University of Nevada, Reno, Reno, Nevada 89557
Email: bruceb@math.unr.edu

DOI: 10.1090/S0002-9939-04-07148-5
PII: S 0002-9939(04)07148-5
Keywords: C*-algebra, stable rank
Received by editor(s): November 20, 2002
Posted: June 2, 2004
Additional Notes: This work was supported by NSF grant DMS-0070763
Communicated by: David R. Larson
Copyright of article: Copyright 2004, American Mathematical Society

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