Quantum isometry groups

DOI10.1007/978-81-322-3667-2zbMath1381.81004OpenAlexW2123357674MaRDI QIDQ311356

Debashish Goswami, Jyotishman Bhowmick

Publication date: 29 September 2016

Published in: Infosys Science Foundation Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-3667-2

zbMATH Keywords

noncommutative geometryquantum groupsisometry groupsquantum spheresspectral triplesquantum isometry groupsC-star algebrasCQG coactionoperator-algebraic non commutative geometry

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) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Noncommutative geometry in quantum theory (81R60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (13)

Quantum symmetry on Potts model ⋮ Isometries of Kellendonk–Savinien spectral triples and Connes metrics ⋮ Quantum symmetries of the twisted tensor products of \(C^*\)-algebras ⋮ Isometry groups of inductive limits of metric spectral triples and Gromov–Hausdorff convergence ⋮ On isometries of spectral triples associated to AF-algebras and crossed products ⋮ Introduction to compact (matrix) quantum groups and Banica-Speicher (easy) quantum groups ⋮ Revisiting Connes’ finite spectral distance on noncommutative spaces: Moyal plane and fuzzy sphere ⋮ A note on the injectivity of actions of compact quantum groups on a class of $C^{\ast }$-algebras ⋮ Quantum Symmetry of Classical Spaces ⋮ Levi-Civita connections for a class of spectral triples ⋮ Quantum isometry group of deformation: a counterexample ⋮ Quantum Symmetries of Graph C*-Algebras ⋮ Hopf coactions on odd spheres

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