Journal of Lie Theory

no. 3
An Analogue of the Schur-Weyl Duality for the Automorphism Group of a II1-Factor
Nikolay Nessonov1; Sergey Sinel'shchikov
1Department of Function Theory, B. Verkin Institute for Low Temperature, Physics and Engineering, National Academy of Sciences, Kharkiv, Ukraine
Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 611-638
An analogue of the Schur-Weyl duality for the automorphism group of the approximately finite dimensional (AFD) II1-factor is produced.
DOI: 10.5802/jolt.1352
Classification: 46L40, 22E66
Keywords: Finite von Neumann factor, automorphism group of a factor, Schur-Weyl duality

Nikolay Nessonov  1 ; Sergey Sinel'shchikov 

1 Department of Function Theory, B. Verkin Institute for Low Temperature, Physics and Engineering, National Academy of Sciences, Kharkiv, Ukraine 
Nikolay Nessonov; Sergey Sinel'shchikov. An Analogue of the Schur-Weyl Duality for the Automorphism Group of a II1-Factor. Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 611-638. doi: 10.5802/jolt.1352
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     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},
     doi = {10.5802/jolt.1352},
     zbl = {1558.46046},
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