scientific article; zbMATH DE number 7316487

zbMath1468.17025MaRDI QIDQ4965421

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Publication date: 1 March 2021

Full work available at URL: http://www.mathjournals.org/jrms/2020-035-003/2020-035-003-001.html

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zbMATH Keywords

universal \(C^{\ast}\)-algebraquantum Stiefel manifoldodd dimensional quantum sphere relations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative differential geometry (46L87) Ext and (K)-homology (19K33) Noncommutative geometry (à la Connes) (58B34)

Cites Work

• Quantized algebras of functions on homogeneous spaces with Poisson stabilizers
• Quantum Stiefel manifold and double cosets of quantum unitary group
• Equivariant spectral triples on the quantum SU(2) group
• Symmetries of quantum spaces. Subgroups and quotient spaces of quantum \(SU(2)\) and \(SO(3)\) groups
• Quantum quaternion spheres
• Characterization of SU q (ℓ + 1)-equivariant spectral triples for the odd dimensional quantum spheres
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