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- W2052094119 abstract "Let M be a semifinite von Neumann algebra and denote by J(M) the closed two-sided ideal generated by the finite projections in M. A subspace S c M is called local if it is equal to the ultraweak closure of S ni J(M) . If M = B(H) and J(M) = K(H), Fall, Arveson, and Muhly proved that S + J(M) is closed for every local subspace S. In this note we prove that if M is a type 11,0 factor, then there exist local subspaces in M which fail to have closed compact ideal perturbations; thus answering in the negative a question of Kaftal, Larson, and Weiss." @default.
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- W2052094119 date "1993-03-01" @default.
- W2052094119 modified "2023-09-24" @default.
- W2052094119 title "A note on compact ideal perturbations in semifinite von Neumann algebras" @default.
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