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Journal of Lie Theory 34 (2024), No. 3, 611--638
Copyright Heldermann Verlag 2024



An Analogue of the Schur-Weyl Duality for the Automorphism Group of a II1-Factor

Nikolay Nessonov
Department of Function Theory, B. Verkin Institute for Low Temperature, Physics and Engineering, National Academy of Sciences, Kharkiv, Ukraine
n.nessonov@gmail.com

Sergey Sinel'shchikov



An analogue of the Schur-Weyl duality for the automorphism group of the approximately finite dimensional (AFD) II1-factor is produced.

Keywords: Finite von Neumann factor, automorphism group of a factor, Schur-Weyl duality.

MSC: 46L40, 22E66.

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