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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. [ Fulltext-pdf (235 KB)] for subscribers only. |