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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The stable rank of full corners in C*-algebras


Author: Bruce Blackadar
Journal: Proc. Amer. Math. Soc. 132 (2004), 2945-2950
MSC (2000): Primary 46L05; Secondary 19B10
Published electronically: June 2, 2004
MathSciNet review: 2063114
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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: http://dx.doi.org/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
Published electronically: June 2, 2004
Additional Notes: This work was supported by NSF grant DMS-0070763
Communicated by: David R. Larson
Article copyright: © Copyright 2004 American Mathematical Society