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2015 The stable rank of $\cstar$-modules
Mauricio Achigar
Ann. Funct. Anal. 6(2): 26-32 (2015). DOI: 10.15352/afa/06-2-3

Abstract

We prove equality between the Topological Stable Rank and the Bass Stable Rank for finitely generated projective left modules over a unital $C^{\ast}$-algebra. In order to do so, the concept of Stable Rank of a Hilbert module is introduced.

Citation

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Mauricio Achigar. "The stable rank of $\cstar$-modules." Ann. Funct. Anal. 6 (2) 26 - 32, 2015. https://doi.org/10.15352/afa/06-2-3

Information

Published: 2015
First available in Project Euclid: 19 December 2014

zbMATH: 1335.46051
MathSciNet: MR3292512
Digital Object Identifier: 10.15352/afa/06-2-3

Subjects:
Primary: 46L08
Secondary: 46L05 , 46L85

Keywords: \cstar-algebra , \cstar-module , Bass stable rank , topological stable rank

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.6 • No. 2 • 2015
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