Geodesic
An analogue of Schur--Weyl duality for the unitary group of a~$\mathrm{II}_1$-factor
Sbornik. Mathematics, Tome 210 (2019) no. 3, pp. 447-472

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An analogue of the classical Schur–Weyl duality is found for the unitary group of an arbitrary $\mathrm{II}_1$-factor. Bibliography: 20 titles.
Keywords: unitary group of a von Neumann factor, Schur–Weyl duality, factor representation, quasi-equivalent representations. 
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     author = {N. I. Nessonov},
     title = {An analogue of {Schur--Weyl} duality for the unitary group of a~$\mathrm{II}_1$-factor},
     journal = {Sbornik. Mathematics},
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     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2019_210_3_a4/}
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N. I. Nessonov. An analogue of Schur--Weyl duality for the unitary group of a~$\mathrm{II}_1$-factor. Sbornik. Mathematics, Tome 210 (2019) no. 3, pp. 447-472. http://geodesic.mathdoc.fr/item/SM_2019_210_3_a4/