Let be an inclusion of factors with finite Jones index. Then as a vector space. Here denotes the vector space spanned by the commutators of the form where .
Soit une inclusion de facteurs de type ayant un indice de Jones fini. Alors on a l’égalité en tant qu’espaces vectoriels. Ici désigne l’espace vectoriel engendré par les commutateurs de la forme où .
Keywords: commutator, conditional expectation, relative commutant
Mot clés : commutateur, attente conditionnelle, commutant relatif
Huang, Hsiang-Ping 1
@article{AIF_2002__52_1_289_0, author = {Huang, Hsiang-Ping}, title = {Commutators associated to a subfactor and its relative commutants}, journal = {Annales de l'Institut Fourier}, pages = {289--301}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {52}, number = {1}, year = {2002}, doi = {10.5802/aif.1887}, zbl = {1021.46045}, mrnumber = {1881581}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1887/} }
TY - JOUR AU - Huang, Hsiang-Ping TI - Commutators associated to a subfactor and its relative commutants JO - Annales de l'Institut Fourier PY - 2002 SP - 289 EP - 301 VL - 52 IS - 1 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1887/ DO - 10.5802/aif.1887 LA - en ID - AIF_2002__52_1_289_0 ER -
%0 Journal Article %A Huang, Hsiang-Ping %T Commutators associated to a subfactor and its relative commutants %J Annales de l'Institut Fourier %D 2002 %P 289-301 %V 52 %N 1 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1887/ %R 10.5802/aif.1887 %G en %F AIF_2002__52_1_289_0
Huang, Hsiang-Ping. Commutators associated to a subfactor and its relative commutants. Annales de l'Institut Fourier, Volume 52 (2002) no. 1, pp. 289-301. doi : 10.5802/aif.1887. https://aif.centre-mersenne.org/articles/10.5802/aif.1887/
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