An Atiyah sequence for noncommutative principal bundles
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Publication:2120858
DOI10.3842/SIGMA.2022.015zbMath1495.46058arXiv2107.04653MaRDI QIDQ2120858
Publication date: 1 April 2022
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.04653
Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Fiber bundles in algebraic topology (55R10)
Cites Work
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- Crossed product extensions of spectral triples
- On the Chern-Gauss-Bonnet theorem for the noncommutative 4-sphere
- Extending derivations
- Principal fibrations from noncommutative spheres
- Equivariant K-theory and freeness of group actions on \(C^ *\)-algebras
- The Chern-Galois character.
- A new characterisation of principal actions
- Free actions of compact quantum groups on unital \(C^\ast\)-algebras
- Free actions of compact quantum groups on \(C^*\)-algebras. III.
- Noncommutative circle bundles and new Dirac operators
- Riemannian curvature of the noncommutative 3-sphere
- Free actions of compact groups on \(C^\ast\)-algebras. II.
- Free actions of compact abelian groups on \(C^{\ast}\)-algebras. I.
- Lifting spectral triples to noncommutative principal bundles
- Noncommutative minimal embeddings and morphisms of pseudo-Riemannian calculi
- Gauge theory on noncommutative Riemannian principal bundles
- Hopf cocycle deformations and invariant theory
- A construction of finite index \(C^*\)-algebra inclusions from free actions of compact quantum groups
- Free Group Actions from the Viewpoint of Dynamical Systems
- DIRAC OPERATORS ON NONCOMMUTATIVE PRINCIPAL CIRCLE BUNDLES
- Lie group extensions associated to projective modules of continuous inverse algebras
- Noncommutative principal torus bundles via parametrised strict deformation quantization
- Complex Analytic Connections in Fibre Bundles
- Duality theory for nonergodic actions
- Sur la suite exacte canonique associée à un fibré principal
- Noncommutative coverings of quantum tori
- FACTORISATION OF EQUIVARIANT SPECTRAL TRIPLES IN UNBOUNDED -THEORY
- Quantum Riemannian Geometry
- Index theory for actions of compact Lie groups on C*-algebras
- Principal non-commutative torus bundles
- Homology
- Strong connections and Chern-Connes pairing in the Hopf-Galois theory
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