Let be a factor of type II or II having separable predual and let be the algebra of affiliated -measurable operators. We characterize the commutator space for sub-- bimodules and of .
Soit un facteur de type II ou II avec prédual séparable et soit l’algèbre d’operateurs -mesurable et affilié avec . Nous caractérisons l’espace des sommes de commutateurs pour tous sous--bimodules et de .
Classification: 46L10, 46L52
Keywords: commutators, type II factors, Brown measure, noncommutative function spaces
@article{AIF_2005__55_3_931_0, author = {J. Dykema, Kenneth and J. Kalton, Nigel}, title = {Sums of commutators in ideals and modules of type {II} factors}, journal = {Annales de l'Institut Fourier}, pages = {931--971}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {55}, number = {3}, year = {2005}, doi = {10.5802/aif.2118}, mrnumber = {2149407}, zbl = {1090.46046}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2118/} }
TY - JOUR TI - Sums of commutators in ideals and modules of type II factors JO - Annales de l'Institut Fourier PY - 2005 DA - 2005/// SP - 931 EP - 971 VL - 55 IS - 3 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2118/ UR - https://www.ams.org/mathscinet-getitem?mr=2149407 UR - https://zbmath.org/?q=an%3A1090.46046 UR - https://doi.org/10.5802/aif.2118 DO - 10.5802/aif.2118 LA - en ID - AIF_2005__55_3_931_0 ER -
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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