On equivariant Dirac operators for \(\mathrm{SU}_q(2)\)

DOI10.1007/BF02829708zbMath1120.58006arXiv0707.2145OpenAlexW1971106867MaRDI QIDQ861780

Partha Sarathi Chakraborty, Arup Kumar Pal

Publication date: 30 January 2007

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2145

zbMATH Keywords

quantum groupsequivariant Dirac operatorsminimal equivariant spectral triples

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60) Geometry of quantum groups (58B32) Noncommutative geometry (à la Connes) (58B34) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (6)

Spectral metric spaces on extensions of \(C^*\)-algebras ⋮ Quantum double suspension and spectral triples ⋮ Equivariant spectral triples and Poincaré duality for 𝑆𝑈_{𝑞}(2) ⋮ Operator algebras in India in the past decade ⋮ Spectral action on \(\mathrm{SU}_q(2)\) ⋮ A residue formula for the fundamental Hochschild class on the Podleś sphere

Cites Work

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• The Dirac operator on \(\text{SU}_{q}(2)\)
• Equivariant spectral triples on the quantum SU(2) group
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• Dual Pairs of Hopf *-Algebras
• CYCLIC COHOMOLOGY, QUANTUM GROUP SYMMETRIES AND THE LOCAL INDEX FORMULA FOR SU q (2)
• Noncommutative manifolds, the instanton algebra and isospectral deformations

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