Sums of commutators in ideals and modules of type II factors
[Sommes des commutateurs dans les idéaux et les modules de facteurs de type II]
Annales de l'Institut Fourier, Tome 55 (2005) no. 3, pp. 931-971.

Soit un facteur de type II ou II 1 avec prédual séparable et soit ¯ l’algèbre d’operateurs τ-mesurable et affilié avec . Nous caractérisons l’espace des sommes de commutateurs [,𝒥] pour tous sous-(,)-bimodules et 𝒥 de ¯.

Let be a factor of type II or II 1 having separable predual and let ¯ be the algebra of affiliated τ-measurable operators. We characterize the commutator space [,𝒥] for sub-(,)- bimodules and 𝒥 of ¯.

DOI : 10.5802/aif.2118
Classification : 46L10, 46L52
Keywords: commutators, type II factors, Brown measure, noncommutative function spaces
Mot clés : commutateurs, facteurs de type II, mesure de Brown, l'espace de fonctions non commutatives
J. Dykema, Kenneth 1 ; J. Kalton, Nigel 

1 Texas A\&M University, department of mathematics, College Station TX 77843-3368 (USA), University of Missouri, department of mathematics, Columbia MO 65211 (USA)
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J. Dykema, Kenneth; J. Kalton, Nigel. Sums of commutators in ideals and modules of type II factors. Annales de l'Institut Fourier, Tome 55 (2005) no. 3, pp. 931-971. doi : 10.5802/aif.2118. http://www.numdam.org/articles/10.5802/aif.2118/

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