Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

BCL index and Fredholm tuples

Author(s): Rongwei Yang
Journal: Proc. Amer. Math. Soc. 127 (1999), 2385-2393.
MSC (1991): Primary 47C10; Secondary 47B35
Posted: April 9, 1999
MathSciNet review: 1605949
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Abstract | References | Similar articles | Additional information

Abstract: In this paper we will prove that the BCL index for -algebras generated by two essentially doubly commuting isometries is equal to the index of the Fredholm tuples formed by these two isometries. We will then compute this index for certain sub-Hardy modules over the bidisk. Some interesting corollaries are also listed.

References:

[BCL]: C. Berger, L. Coburn, A. Lebow, Representation and index theory for $C^{*}$ -algebras generated by commuting isometries, J. Functional Analysis 27 (1978), No. 1, 51-99. MR 57:7251
[Cu]: R. Curto, Fredholm and invertible tuples of bounded linear operators, thesis, Math. Dept. of SUNY-Stonybrook 1978.
[Do]: R. Douglas, Local Toeplitz operators, Proc. London Math. Soc. 36 (1978), 243-272. MR 58:2421
[Ya]: R. Yang, The Berger-Shaw theorem in Hardy modules over the bidisk, submitted to J. of Operator Theory.

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