On projective representations for compact quantum groups

DOI10.1016/j.jfa.2011.02.022zbMath1279.46051arXiv1006.2278OpenAlexW2963908888MaRDI QIDQ537702

Kenny De Commer

Publication date: 20 May 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.2278

zbMATH Keywords

projective representationcompact quantum groupGalois (co-)object

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Quantizations, deformations for selfadjoint operator algebras (46L65) Ring-theoretic aspects of quantum groups (16T20)

Related Items

Quantum groups -- algebra, analysis and category theory. Abstracts from the workshop held September 12--18, 2021 (hybrid meeting), Quantum isometries and group dual subgroups, Product type actions of \(G_q\), The Poisson Lie Algebra, Rumin’s Complex and Base Change

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of superrigid group von Neumann algebras
• The Baum-Connes conjecture for free orthogonal quantum groups
• On a Morita equivalence between the duals of quantum \(SU(2)\) and quantum \(\widetilde E(2)\)
• Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups
• Galois objects for algebraic quantum groups.
• Compact matrix pseudogroups
• Quantum \(E(2)\) group and its Pontryagin dual
• Primitive ideals in enveloping algebras
• 2-cocycles and twisting of Kac algebras
• Twisting in group algebras of finite groups
• Brauer groups, Hopf algebras and Galois theory
• Quantum real projective space, disc and spheres
• Theory of operator algebras. II
• On twisting of finite-dimensional Hopf algebras.
• A locally compact quantum group analogue of the normalizer of \(\text{SU}(1,1)\) in \(\text{SL}(2,\mathbb C)\)
• A von Neumann algebra framework for the duality of the quantum groups
• Deformation of a Kac algebra by an abelian subgroup
• Compact quantum ergodic systems
• A pseudo-cocycle for the comultiplication on the quantum SU(2) group
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• REPRESENTATION AND DUALITY OF UNIMODULAR C^*-DISCRETE QUANTUM GROUPS
• Ergodic Actions of Compact Groups on Operator Algebras II: Classification of Full Multiplicity Ergodic Actions
• The Addition Formula for Littleq-Legendre Polynomials and the ${\operatorname{SU}}(2)$ Quantum Group
• ON A SUBFACTOR ANALOGUE OF THE SECOND COHOMOLOGY
• Locally compact quantum groups in the von Neumann algebraic setting
• Equivariant Morita equivalences between Podleś spheres
• IDENTIFICATION OF THE POISSON AND MARTIN BOUNDARIES OF ORTHOGONAL DISCRETE QUANTUM GROUPS
• The unitary implementation of a locally compact quantum group action