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Sums of commutators in ideals and modules of type II factors

K. J. Dykema, N. J. Kalton

math.OAarXiv:math/0304319

Abstract

Let M be a factor of type II∞ or II1 having separable predual and let M-bar be the algebra of affiliated τ-measureable operators. We characterize the commutator space [I,J] for sub-(M,M)-bimodules I and J of M-bar.

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