Equivariant spectral triples and Poincaré duality for 𝑆𝑈_{𝑞}(2)
From MaRDI portal
Publication:3581131
DOI10.1090/S0002-9947-10-05139-1zbMath1198.58003arXivmath/0211367OpenAlexW1953918150MaRDI QIDQ3581131
Partha Sarathi Chakraborty, Arup Kumar Pal
Publication date: 16 August 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0211367
noncommutative geometryPoincaré dualityseparable \(C^*\)-algebraequivariant spectral triple\(K\)-homology fundamental class
Noncommutative differential geometry (46L87) Kasparov theory ((KK)-theory) (19K35) Noncommutative geometry (à la Connes) (58B34)
Related Items (2)
On the Clebsch-Gordan coefficients for the quantum group \(U_q (2)\) ⋮ Operator algebras in India in the past decade
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gravity coupled with matter and the foundation of non-commutative geometry
- On equivariant Dirac operators for \(\mathrm{SU}_q(2)\)
- D-branes, RR-fields and duality on noncommutative manifolds
- Compact matrix pseudogroups
- The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
- Eigenvalue inequalities and Poincaré duality in noncommutative geometry
- Equivariant spectral triples on the quantum SU(2) group
- Theory of operator algebras. II
- Characterization of SU q (ℓ + 1)-equivariant spectral triples for the odd dimensional quantum spheres
- CYCLIC COHOMOLOGY, QUANTUM GROUP SYMMETRIES AND THE LOCAL INDEX FORMULA FOR SU q (2)
This page was built for publication: Equivariant spectral triples and Poincaré duality for 𝑆𝑈_{𝑞}(2)