Classical limits of Hilbert bimodules as symplectic dual pairs

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) General quantum mechanics and problems of quantization (81S99) Poisson algebras (17B63) Quantizations, deformations for selfadjoint operator algebras (46L65)

Cites Work

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The local structure of Poisson manifolds
Strict deformation quantization of a particle in external gravitational and Yang-Mills fields
Field-theoretic Weyl deformation quantization of enlarged Poisson algebras
Morita equivalence of Poisson manifolds
Deformation estimates for the Berezin-Toeplitz quantization
Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
Reduction of symplectic manifolds with symmetry
A universal phase space for particles in Yang-Mills fields
Twisted Lie group \(C^*\)-algebras as strict quantizations
Integrability of Poisson brackets
Deformation quantization of Heisenberg manifolds
Rieffel induction as generalized quantum Marsden-Weinstein reduction
Induced representations of C\(^*\)-algebras
Field-theoretic Weyl quantization as a strict and continuous deformation quantization
Operations on continuous bundles of \(C^*\)-algebras
Classical intertwiner space and quantization
Lie groupoid \(C^*\)-algebras and Weyl quantization
Quantization and the resolvent algebra
Some continuous field quantizations, equivalent to the \(C^*\)-Weyl quantization
Deformation Quantization for Actions of Kählerian Lie Groups
Morita equivalence and symplectic realizations of Poisson manifolds
Tensor Products of Non-Unital C^* -Algebras
Deformation quantization for actions of 𝑅^{𝑑}
Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field
Smooth Manifolds and Observables
Extensions of bundles of C*-algebras
Induced representations of 𝐶*-algebras
Toeplitz operators and quantum mechanics
Operator algebras and Poisson manifolds associated to groupoids
Quantization as a categorical equivalence

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