Fibre product approach to index pairings for the generic Hopf fibration of SUq(2)

DOI10.1017/is010002019jkt110zbMath1230.58008arXiv0902.3777OpenAlexW2163462000MaRDI QIDQ3002213

Elmar Wagner

Publication date: 20 May 2011

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3777

zbMATH Keywords

projective modulePodleś spherecyclic cohomologyquantum spherefiber productquantum diskindex pairing\(K_0\)-groupquantum line bundlequantum \(SU(2)\)

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Geometry of quantum groups (58B32)

Related Items (1)

Weighted circle actions on the Heegaard quantum sphere

Cites Work

• Unnamed Item
• Noncommutative index theory for mirror quantum spheres
• Quantum spheres
• Noncommutative differential geometry on the quantum two sphere of Podlès. I: An algebraic viewpoint
• Quantum principal fibre bundles: Topological aspects
• Coalgebra bundles
• Chern numbers for two families of noncommutative Hopf fibrations
• Quantum homogeneous spaces with faithfully flat module structures
• Bundles over quantum sphere and noncommutative index theorem
• Projective module description of the \(q\)-monopole
• Covering and gluing of algebras and differential algebras
• The two-parameter quantum deformation of the unit disc
• The \(K\)-theory of Heegaard-type quantum 3-spheres
• Noncommutative differential geometry on the quantum \(\text{SU}(2)\). I: An algebraic viewpoint
• Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere
• Coalgebra extensions and algebra coextensions of galois type
• Quantum homogeneous spaces as quantum quotient spaces
• Quantum geometry of algebra factorisations and coalgebra bundles

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