no. 3
Sums of commutators in ideals and modules of type II factors
Annales de l'Institut Fourier, Volume 55 (2005) no. 3, pp. 931-971.

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

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

DOI: 10.5802/aif.2118
Classification: 46L10,  46L52
Keywords: commutators, type II factors, Brown measure, noncommutative function spaces 
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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, Volume 55 (2005) no. 3, pp. 931-971. doi : 10.5802/aif.2118. https://aif.centre-mersenne.org/articles/10.5802/aif.2118/

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