An index theorem for Toeplitz operators on the quarter-plane

Badi, Adel

doi:10.1090/S0002-9939-09-10007-2

An index theorem for Toeplitz operators on the quarter-plane
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by Adel B. Badi

Proc. Amer. Math. Soc. 137 (2009), 3779-3786

DOI: https://doi.org/10.1090/S0002-9939-09-10007-2

Published electronically: June 9, 2009

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Abstract:

We prove an index theorem for Toeplitz operators on the quarter-plane using the index theory for generalized Toeplitz operators introduced by G. J. Murphy. To prove this index theorem we construct an indicial triple on the tensor product of two commutative symbol $\mathrm {C}^\ast$–algebras. We extend our results to matrices of Toeplitz operators on the quarter-plane.

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