An Index Theorem for Toeplitz Operators on the Quarter-Plane
Operator Algebras
2008-07-01 v2
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 C*-algebras provided with indicial triples with general conditions. We show that our results can be extended to some extensions of the theory of Toeplitz operators on the quarter-plane.
Cite
@article{arxiv.0804.0251,
title = {An Index Theorem for Toeplitz Operators on the Quarter-Plane},
author = {Adel B. Badi},
journal= {arXiv preprint arXiv:0804.0251},
year = {2008}
}
Comments
12 pages