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

DOI10.1070/SM8986zbMath1481.20038OpenAlexW2906129019MaRDI QIDQ5377116

N. I. Nessonov

Publication date: 23 May 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8986

zbMATH Keywords

Schur-Weyl dualityfactor representationquasi-equivalent representationsunitary group of von Neumann factor

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Groups and semigroups of linear operators (47D03) Representation theory of linear operators (47A67) Representations of infinite symmetric groups (20C32) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

• Indecomposable characters of infinite dimensional groups associated with operator algebras
• Polynomial representations of \(C^\ast\)-algebras and their applications
• The topological structure of the unitary and automorphism groups of a factor
• Theory of operator algebras. II
• Theory of operator algebras. III
• Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator.
• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
• Stable representations of the infinite symmetric group
• Tensor Representations of Classical Locally Finite Lie Algebras
• CATEGORIES OF BISTOCHASTIC MEASURES, AND REPRESENTATIONS OF SOME INFINITE-DIMENSIONAL GROUPS
• Infinite Unitary Groups
• Theory of operator algebras I.
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