On subfactors arising from asymptotic representations of symmetric groups

DOI10.1090/S0002-9939-2011-10991-2zbMath1246.46057arXiv0912.0820MaRDI QIDQ5388804

Makoto Yamashita

Publication date: 20 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0820

zbMATH Keywords

symmetric groupasymptotic representationsubfactor

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Subfactors and their classification (46L37) Representations of infinite symmetric groups (20C32)

Related Items (2)

Yang-Baxter representations of the infinite symmetric group ⋮ Yang–Baxter endomorphisms

Cites Work

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• Harmonic analysis on the infinite symmetric group
• Centralization of positive definite functions, weak containment of representations and Thoma characters for the infinite symmetric group
• Noncommutative independence from the braid group \({\mathbb{B}_{\infty}}\)
• Extremal traces on some group-invariant C*-algebras
• Index for subfactors
• Functors of white noise associated to characters of the infinite symmetric group
• On representations of the infinite symmetric group
• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
• Entropy and index for subfactors
• Ergodic Actions of Compact Groups on Operator Algebras II: Classification of Full Multiplicity Ergodic Actions
• Dynamical Entropy in Operator Algebras

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