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arxiv: math/0304319 · v1 · submitted 2003-04-22 · 🧮 math.OA

Sums of commutators in ideals and modules of type II factors

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keywords m-bartypeaffiliatedalgebrabimodulescharacterizecommutatorcommutators
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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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