On quantum symmetries of compact metric spaces

DOI10.1016/j.geomphys.2015.02.013zbMath1318.81038arXiv1407.0960OpenAlexW2085157144MaRDI QIDQ2352285

Alexandru Chirvasitu

Publication date: 30 June 2015

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

Full work available at URL: https://arxiv.org/abs/1407.0960

zbMATH Keywords

compact metric spaceWasserstein distancecompact quantum groupHall's marriage theoremisometric coactionLipschitz seminorm

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry of quantum groups (58B32)

Related Items (8)

Quantum rigidity of negatively curved manifolds ⋮ A duality principle for noncommutative cubes and spheres ⋮ Quantum symmetries of quantum metric spaces and non-local games ⋮ HALF-LIBERATED MANIFOLDS AND THEIR QUANTUM ISOMETRIES ⋮ Existence and rigidity of quantum isometry groups for compact metric spaces ⋮ Quantum isometries and loose embeddings ⋮ Liberations and twists of real and complex spheres ⋮ Existence and examples of quantum isometry groups for a class of compact metric spaces

Cites Work

• Isometric coactions of compact quantum groups on compact quantum metric spaces
• 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
• Invariants of finite Hopf algebras.
• Quantum automorphism groups of finite graphs
• The Haar Measure on a Compact Quantum Group
• UNIVERSAL QUANTUM GROUPS
• Vector spaces with an order unit
• Prescribing a System of Random Variables by Conditional Distributions
• Optimal Transport
• Theory of operator algebras I.
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