Invariant subsets under compact quantum group actions

DOI10.4171/JNCG/239zbMath1359.46061arXiv1210.5782OpenAlexW2341621256MaRDI QIDQ740098

Huichi Huang

Publication date: 12 August 2016

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5782

zbMATH Keywords

orbitinvariant stateactioncompact Hausdorff spacecompact quantum groupinvariant subset

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (10)

Quantum actions on discrete quantum spaces and a generalization of Clifford's theory of representations ⋮ Non-existence of genuine (compact) quantum symmetries of compact, connected smooth manifolds ⋮ A state-space approach to quantum permutations ⋮ Quantum isometry groups of dual of finitely generated discrete groups and quantum groups ⋮ A note on the injectivity of actions of compact quantum groups on a class of $C^{\ast }$-algebras ⋮ Existence and rigidity of quantum isometry groups for compact metric spaces ⋮ Discrete quantum subgroup asymptotically fixing a sequence of finite subsets ⋮ Quantum isometries and loose embeddings ⋮ Non-existence of faithful isometric action of compact quantum groups on compact, connected Riemannian manifolds ⋮ Advances in quantum permutation groups

Cites Work

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