C*-Algebras of singular integral operators and Toeplitz operators associated with measure-preserving transformations

Jingbo Xia

doi:10.1017/S0143385798100482

C*-Algebras of singular integral operators and Toeplitz operators associated with measure-preserving transformations

Jingbo Xia

Mathematics

Research output: Contribution to journal › Article › peer-review

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 L²-spaces are C*-algebraically equivalent.

Original language	English
Pages (from-to)	487-502
Number of pages	16
Journal	Ergodic Theory and Dynamical Systems
Volume	18
Issue number	2
DOIs	https://doi.org/10.1017/S0143385798100482
State	Published - Apr 1998

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title = "C*-Algebras of singular integral operators and Toeplitz operators associated with measure-preserving transformations",

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 L2-spaces are C*-algebraically equivalent.",

author = "Jingbo Xia",

year = "1998",

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AB - 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 L2-spaces are C*-algebraically equivalent.

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JO - Ergodic Theory and Dynamical Systems

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C*-Algebras of singular integral operators and Toeplitz operators associated with measure-preserving transformations

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