Subfactors associated to compact Kac algebras

DOI10.1007/BF01192147zbMath0973.46050arXivmath/9806054MaRDI QIDQ5928435

Teodor Banica

Publication date: 28 March 2001

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9806054

zbMATH Keywords

compact quantum group of Kac typefinite dimensional \(C^*\)-algebrasfinite quantum groupsfinitely generated discrete groupsinclusionsJones towerprojective representations of compact groupsspin modelsstandard invariantvertex models

Mathematics Subject Classification ID

Subfactors and their classification (46L37)

Related Items (5)

Quantum Galois groups of subfactors ⋮ Free wreath product quantum groups and standard invariants of subfactors ⋮ A construction of finite index \(C^*\)-algebra inclusions from free actions of compact quantum groups ⋮ The planar algebra of a fixed point subfactor ⋮ Actions of monoidally equivalent compact quantum groups and applications to probabilistic boundaries

Cites Work

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• Ergodic actions of compact groups on operator algebras. I: General theory
• Compact matrix pseudogroups
• A minimal action of the compact quantum group \(SU_q(n)\) on a full factor
• Symmetries of a generic coaction
• Algebras associated to intermediate subfactors
• Compact Kac algebras and commuting squares
• Classification of amenable subfactors of type II
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• Representations of compact quantum groups and subfactors

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