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

Key Points

• This research aims to develop an analogue of the Schur-Weyl duality in the context of automorphism groups of certain mathematical structures.
• Introduced concepts related to the automorphism group of an AFD II1-factor.
• Explored relationships between structures using Schur-Weyl duality principles.
• Established a novel analogue of Schur-Weyl duality for the AFD II1-factor.
• Demonstrated that the automorphism group has similar properties to those described by Schur-Weyl duality.