A Galois correspondence for compact quantum group actions

DOI10.1515/CRELLE.2009.063zbMath1294.46061arXiv0801.1233OpenAlexW2964275774MaRDI QIDQ3647064

Reiji Tomatsu

Publication date: 27 November 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1233

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (7)

Galois correspondence and Fourier analysis on local discrete subfactors ⋮ Actions of groups and quantum groups on amenable factors ⋮ Centrally free actions of amenable \(\mathrm{C}^*\)-tensor categories on von Neumann algebras ⋮ Realizations of algebra objects and discrete subfactors ⋮ Product type actions of \(G_q\) ⋮ A Galois correspondence for compact group actions on C\(^{\ast}\)-algebras ⋮ Compact hypergroups from discrete subfactors

Cites Work

• Unnamed Item
• Duality for crossed products and the structure of von Neumann algebras of type III
• Index of subfactors and statistics of quantum fields. II: Correspondences, braid group statistics and Jones polynomial
• Extension of Jones' theory on index of arbitrary factors
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Operator valued weights in von Neumann algebras. I
• Operator valued weights in von Neumann algebras. II
• Application of fusion rules to classification of subfactors
• Remarks on compact automorphism groups of a certain von Neumann algebra
• Essential spectrum \(\Gamma(\beta)\) of a dual action of a von Neumann algebra
• A minimal action of the compact quantum group \(SU_q(n)\) on a full factor
• Simple injective subfactors
• Minimizing indices of conditional expectations onto a subfactor
• Index of subfactors and statistics of quantum fields. I
• A characterization of right coideals of quotient type and its application to classification of Poisson boundaries
• Conditional expectations in von Neumann algebras
• The unitary implementation of a locally compact quantum group action

This page was built for publication: A Galois correspondence for compact quantum group actions