Deformation quantization using groupoids. The case of toric manifolds

DOI10.1016/J.GEOMPHYS.2006.05.005zbMath1107.53063arXivmath/0305261OpenAlexW2068090815MaRDI QIDQ864260

Frédéric Cadet

Publication date: 13 February 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305261

zbMATH Keywords

moment map\(C^*\)-algebraic deformation quantizationdeformation groupoid

Mathematics Subject Classification ID

Deformation quantization, star products (53D55) Pseudogroups and differentiable groupoids (58H05) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

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• A groupoid approach to C*-algebras
• C*-algebras associated with irrational rotations
• Convexity properties of the moment mapping
• Reduction of symplectic manifolds with symmetry
• Deformation theory and quantization. I: Deformations of symplectic structures
• Deformation quantization of Heisenberg manifolds
• Hamiltoniens périodiques et images convexes de l'application moment
• Convexity and Commuting Hamiltonians
• Deformation quantization for actions of 𝑅^{𝑑}
• Noncommutative manifolds, the instanton algebra and isospectral deformations
• Quantum symmetry groups of noncommutative spheres

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