Geodesic
Perturbations of Von Neumann Subalgebras With Finite Index
Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 320-325

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In this paper, we study uniform perturbations of von Neumann subalgebras of a von Neumann algebra. Let $M$ and $N$ be von Neumann subalgebras of a von Neumann algebra with finite probabilistic index in the sense of Pimsner and Popa. If $M$ and $N$ are sufficiently close, then $M$ and $N$ are unitarily equivalent. The implementing unitary can be chosen as being close to the identity.
DOI : 10.4153/CMB-2015-081-8
Mots-clés : 46L10, 46L37, von Neumann algebras, perturbations 
Ino, Shoji. Perturbations of Von Neumann Subalgebras With Finite Index. Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 320-325. doi: 10.4153/CMB-2015-081-8
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     author = {Ino, Shoji},
     title = {Perturbations of {Von} {Neumann} {Subalgebras} {With} {Finite} {Index}},
     journal = {Canadian mathematical bulletin},
     pages = {320--325},
     year = {2016},
     volume = {59},
     number = {2},
     doi = {10.4153/CMB-2015-081-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-081-8/}
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