An Index Theorem for Toeplitz Operators on the Quarter-Plane

Details An Index Theorem for Toeplitz Operators on the Quarter-Plane An Index Theorem for Toeplitz Operators on the Quarter-Plane

2008-04-01

arxiv.org/abs/0804.0251v2

Mathematics

Operator Algebras

12 pages

Scientific paper

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.

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