Proceedings of the American Mathematical Society

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

Author(s): Paul S. Muhly; Jingbo Xia
Journal: Proc. Amer. Math. Soc. 125 (1997), 3313-3319.
MSC (1991): Primary 47B35, 47B47, 47C15.
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47B35, 47B47, 47C15.

Paul S. Muhly
Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242
Email: muhly@math.uiowa.edu

Jingbo Xia
Affiliation: Department of Mathematics, State University of New York at Buffalo, Buffalo, New York 14214
Email: JXMTH@ubvms.cc.buffalo.edu

DOI: 10.1090/S0002-9939-97-03972-5
PII: S 0002-9939(97)03972-5
Received by editor(s): June 12, 1996
Additional Notes: This research was supported in part by grants from the National Science Foundation.
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1997, American Mathematical Society

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ISSN 1088-6826 (e) ISSN 0002-9939 (p)

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