Morita equivalence and symplectic realizations of Poisson manifolds

DOI10.24033/asens.1652zbMath0767.58014OpenAlexW2224332538MaRDI QIDQ4022720

Ping Xu

Publication date: 17 January 1993

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1992_4_25_3_307_0

zbMATH Keywords

Lie groupoidsPoisson structuressymplectic structuressymplectic groupoidsgroupoid equivalenceMorita equivalent

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (4)

Poisson and near-symplectic structures on generalized wrinkled fibrations in dimension 6 ⋮ On quadratic Poisson structures ⋮ Double Bruhat cells and symplectic groupoids ⋮ Rieffel induction as generalized quantum Marsden-Weinstein reduction

Cites Work

• Hamiltonian structures and stability for rigid bodies with flexible attachments
• The local structure of Poisson manifolds
• Poisson geometry of the principal series and nonlinearizable structures
• Moments and reduction for symplectic groupoids
• A groupoid approach to C*-algebras
• Morita equivalence of Poisson manifolds
• Reduction of symplectic manifolds with symmetry
• Les variétés de Poisson et leurs algèbres de Lie associees
• Induced representations of C\(^*\)-algebras
• The homotopy type of the unitary group of Hilbert space
• ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS
• Crossed Products and Morita Equivalence
• Symplectic groupoids and Poisson manifolds
• Cross Products of Strongly Morita Equivalent C ∗ -Algebras
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