Sums of commutators in ideals and modules of type II factors

Mathematics – Operator Algebras

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33 pages

Scientific paper

Let M be a factor of type II_\infty or II_1 having separable predual and let
M-bar be the algebra of affiliated \tau-measureable operators. We characterize
the commutator space [I,J] for sub-(M,M)-bimodules I and J of M-bar.

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