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

Muhly, Paul; Xia, Jingbo

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

Commutator ideals and semicommutator ideals of Toeplitz operators associated with flows II
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by Paul S. Muhly and Jingbo Xia PDF

Proc. Amer. Math. Soc. 125 (1997), 3313-3319 Request permission

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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