N. I. Nessonov, “An analogue of Schur–Weyl duality for the unitary group of a <nobr>$\mathrm{II}_1$</nobr>-factor”, Mat. Sb., 2019, Volume 210, Number 3,Pages <nobr>162

An analogue of Schur–Weyl duality for the unitary group of a $\mathrm{II}_1$-factor

N. I. Nessonov

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine

Abstract: 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.

UDC: 517.986

MSC: 20C32

Received: 04.07.2017 and 17.10.2018

DOI: 10.4213/sm8986