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

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

Journal article

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

Paul S Muhly and Jingbo Xia

Proceedings of the American Mathematical Society, Vol.125(11), pp.3313-3319

1997

DOI: 10.1090/S0002-9939-97-03972-5

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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. ©1997 American Mathematical Society.

Details

Title: Subtitle: Commutator ideals and semicommutator ideals of Toeplitz operators associated with flows II
Creators: Paul S Muhly
Jingbo Xia
Resource Type: Journal article
Publication Details: Proceedings of the American Mathematical Society, Vol.125(11), pp.3313-3319
DOI: 10.1090/S0002-9939-97-03972-5
ISSN: 0002-9939
eISSN: 1088-6826
Publisher: American Mathematical Society
Language: English
Date published: 1997
Academic Unit: Statistics and Actuarial Science; Mathematics
Record Identifier: 9984083835702771

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