Commutator ideals and semicommutator ideals of toeplitz operators associated with flows II

Paul S. Muhly; Jingbo Xia

doi:10.1090/s0002-9939-97-03972-5

Commutator ideals and semicommutator ideals of toeplitz operators associated with flows II

Paul S. Muhly
, Jingbo Xia

Mathematics

University of Iowa
SUNY Buffalo

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

Abstract

We prove that for a flow with at most one fixed point, the commutator ideal and the semicommutator ideal of the associated Toeplitz algebra coincide. We further show that the situation becomes much more complicated for flows with at least two fixed points.

Original language	English
Pages (from-to)	3313-3319
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	125
Issue number	11
DOIs	https://doi.org/10.1090/s0002-9939-97-03972-5
State	Published - 1997

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title = "Commutator ideals and semicommutator ideals of toeplitz operators associated with flows II",

abstract = "We prove that for a flow with at most one fixed point, the commutator ideal and the semicommutator ideal of the associated Toeplitz algebra coincide. We further show that the situation becomes much more complicated for flows with at least two fixed points.",

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AB - We prove that for a flow with at most one fixed point, the commutator ideal and the semicommutator ideal of the associated Toeplitz algebra coincide. We further show that the situation becomes much more complicated for flows with at least two fixed points.

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DO - 10.1090/s0002-9939-97-03972-5

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 11

ER -

Commutator ideals and semicommutator ideals of toeplitz operators associated with flows II

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