Faithful compact quantum group actions on connected compact metrizable spaces

DOI10.1016/j.geomphys.2013.03.027zbMath1291.46065arXiv1202.1175OpenAlexW1982526357MaRDI QIDQ390868

Huichi Huang

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1175

zbMATH Keywords

quantum permutation groupcompact quantum groupconnected compact metrizable space

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Quantizations, deformations for selfadjoint operator algebras (46L65)

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Cites Work

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• On actions of compact quantum groups
• Quantum group of isometries in classical and noncommutative geometry
• Quantum group of orientation-preserving Riemannian isometries
• Quantum automorphism groups of small metric spaces.
• Compact matrix pseudogroups
• Quantum symmetry groups of finite spaces
• Ergodic actions of universal quantum groups on operator algebras
• Free products of compact quantum groups
• Symmetries of quantum spaces. Subgroups and quotient spaces of quantum \(SU(2)\) and \(SO(3)\) groups
• Quadratic independence of coordinate functions of certain homogeneous spaces and action of compact quantum groups
• Quantum automorphism groups of homogeneous graphs
• Quantum isometry groups of $0$-dimensional manifolds
• Tensor Products and Crossed Products of Compact Quantum Groups

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