Toeplitz algebras and Rieffel deformations |
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Authors: | L. A. Coburn Jingbo Xia |
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Affiliation: | (1) Department of Mathematics, State University of New York, 14214 Buffalo, NY |
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Abstract: | We establish a representation theorem for Toeplitz operators on the Segal-Bargmann (Fock) space ofCn whose symbols have uniform radial limits. As an application of this result, we show that Toeplitz algebras on the open ball inCn are strict deformation quantizations, in the sense of M. Rieffel, of the continuous functions on the corresponding closed ball. |
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