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$C^\ast$-Algebras of singular integral operators and Toeplitz operators associated with measure-preserving transformations

Published online by Cambridge University Press:  01 April 1998

JINGBO XIA
JINGBO XIA
Affiliation:
Department of Mathematics, State University of New York at Buffalo, Buffalo, NY 14214, USA
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Abstract

We show in the setting of measure-theoretical dynamical systems that certain singular integral operators and Toeplitz operators with the same coefficients but represented on different $L^2$-spaces are $C^\ast $-algebraically equivalent.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 2 , April 1998 , pp. 487 - 502
Copyright
1998 Cambridge University Press

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Footnotes

Research supported in part by the National Science Foundation.