Commutators associated to a subfactor and its relative commutants

Huang, Hsiang-Ping

Commutators associated to a subfactor and its relative commutants
[Commutateurs associés à un sous-facteur et à ses commutants relatifs]

Huang, Hsiang-Ping

Annales de l'Institut Fourier, Tome 52 (2002), p. 289-301 / Harvested from Numdam

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Résumé
Abstract

Soit $N \subseteq M$ une inclusion de facteurs de type $I I_{1}$ ayant un indice de Jones fini. Alors on a l’égalité $M = (N^{'} \cap M) \oplus [N, M]$ en tant qu’espaces vectoriels. Ici $[N, M]$ désigne l’espace vectoriel engendré par les commutateurs de la forme $[a, b]$ où $a \in N, b \in M$ .

Let $N \subseteq M$ be an inclusion of $I I_{1}$ factors with finite Jones index. Then $M = (N^{'} \cap M) \oplus [N, M]$ as a vector space. Here $[N, M]$ denotes the vector space spanned by the commutators of the form $[a, b]$ where $a \in N, b \in M$ .

Publié le : 2002-01-01

MR 1881581 | Zbl 1021.46045

DOI : https://doi.org/10.5802/aif.1887
Classification: 46L37, 47B47
Mots clés: commutateur, attente conditionnelle, commutant relatif

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     author = {Huang, Hsiang-Ping},
     title = {Commutators associated to a subfactor and its relative commutants},
     journal = {Annales de l'Institut Fourier},
     volume = {52},
     year = {2002},
     pages = {289-301},
     doi = {10.5802/aif.1887},
     mrnumber = {1881581},
     zbl = {1021.46045},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2002__52_1_289_0}
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Huang, Hsiang-Ping. Commutators associated to a subfactor and its relative commutants. Annales de l'Institut Fourier, Tome 52 (2002) pp. 289-301. doi : 10.5802/aif.1887. http://gdmltest.u-ga.fr/item/AIF_2002__52_1_289_0/

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