Twisted Dirac Operator on Quantum SU(2) in Disc Coordinates

DOI10.1007/978-3-030-44651-2_16OpenAlexW2995237877MaRDI QIDQ5118501

Ulrich Krähmer, Elmar Wagner

Publication date: 8 September 2020

Published in: Operator Algebras, Toeplitz Operators and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08155

zbMATH Keywords

Dirac operatorquantum SU(2)quantum disctwisted derivation

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Operator theory (47-XX)

Cites Work

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• The pullbacks of principal coactions
• K-homology class of the Dirac operator on a compact quantum group
• The Dirac operator on \(\text{SU}_{q}(2)\)
• Non-commutative differential geometry
• Commutator representations of differential calculi on the quantum group \(SU_q(2)\)
• Equivariant spectral triples on the quantum SU(2) group
• Spin geometry on quantum groups via covariant differential calculi
• The two-parameter quantum deformation of the unit disc
• Commutative algebras of Toeplitz operators on the Bergman space
• The local index formula for \(\text{SU}_{q}(2)\)
• Noncommutative differential geometry on the quantum \(\text{SU}(2)\). I: An algebraic viewpoint
• A residue formula for the fundamental Hochschild 3-cocycle for SUq(2)
• The Dirac operator on compact quantum groups
• CYCLIC COHOMOLOGY, QUANTUM GROUP SYMMETRIES AND THE LOCAL INDEX FORMULA FOR SU q (2)
• Quantum SU(2) and the Baum-Connes conjecture

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