Stable ranks of split extensions of Banach algebras |
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| Authors: | You Qing Ji |
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| Institution: | a Department of Mathematics, Jilin University, Changchun 130012, PR China
b Institute of Mathematics, Jilin University, Changchun 130012, PR China |
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| Abstract: | In this paper, we estimate the stable ranks of a Banach algebra in terms of the stable ranks of its quotient algebra and ideal under the assumption that the quotient map splits. As an application, several results about the Bass and the connected stable ranks of nest algebras are obtained. |
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| Keywords: | 46L80 47L35 19B10 |
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