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Almost-invertible Toeplitz operators and K-theory

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Abstract

We consider the question of when a Toeplitz operator with continuous symbol on a connected compact abelian group is almost invertible, and show that this occurs precisely when the symbol is invertible and has zero topological index. The proof uses someK-theory computations.

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Authors and Affiliations

  1. Department of Mathematics, University College, Cork, Ireland

    Gerard J. Murphy

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  1. Gerard J. Murphy
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Murphy, G.J. Almost-invertible Toeplitz operators and K-theory. Integr equ oper theory 15, 72–81 (1992). https://doi.org/10.1007/BF01193767

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MSC 1991

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