Geodesic
An Analogue of the Schur-Weyl Duality for the Automorphism Group of a II1-Factor
Nikolay Nessonov1 ; Sergey Sinel'shchikov2, 3, 4, 5, 6
1Department of Function Theory, B. Verkin Institute for Low Temperature, Physics and Engineering, National Academy of Sciences, Kharkiv, Ukraine
2An analogue of the Schur-Weyl duality for the automorphism group of the approximately finite dimensional (AFD) II
3-factor is produced.
4Keywords: Finite von Neumann factor, automorphism group of a factor, Schur-Weyl duality.
5MSC: 46L40, 22E66.
6[
Journal of Lie Theory, Tome 34 (2024) no. 3, pp. 611-638

Voir la notice de l'article provenant de la source Heldermann Verlag

An analogue of the Schur-Weyl duality for the automorphism group of the approximately finite dimensional (AFD) II1-factor is produced.
Classification : 46L40, 22E66
Mots-clés : Finite von Neumann factor, automorphism group of a factor, Schur-Weyl duality

Nikolay Nessonov  1   ; Sergey Sinel'shchikov  2 , 3 , 4 , 5 , 6

1 Department of Function Theory, B. Verkin Institute for Low Temperature, Physics and Engineering, National Academy of Sciences, Kharkiv, Ukraine
2 An analogue of the Schur-Weyl duality for the automorphism group of the approximately finite dimensional (AFD) II
3 -factor is produced.
4 Keywords: Finite von Neumann factor, automorphism group of a factor, Schur-Weyl duality.
5 MSC: 46L40, 22E66.
6 [ 
Nikolay Nessonov; Sergey Sinel'shchikov. An Analogue of the Schur-Weyl Duality for the Automorphism Group of a II1-Factor. Journal of Lie Theory, Tome 34 (2024) no. 3, pp. 611-638. http://geodesic.mathdoc.fr/item/JOLT_2024_34_3_a6/
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     author = {Nikolay Nessonov and Sergey Sinel'shchikov},
     title = {An {Analogue} of the {Schur-Weyl} {Duality} for the {Automorphism} {Group} of a {II\protect\textsubscript{1}-Factor}},
     journal = {Journal of Lie Theory},
     pages = {611--638},
     year = {2024},
     volume = {34},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2024_34_3_a6/}
}
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