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

Abstract

An analogue of the Schur-Weyl duality for the group of automorphisms of the approximately finite dimensional (AFD) ${\mathrm{II}}_1$-factor is produced. Keywords: AFD ${\mathrm{II}}_1$-factor, automorphisms group of factor, Schur-Weyl duality.

27 pages