Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization.
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Publication:5929713
DOI10.1016/S0393-0440(00)00035-8zbMath1039.46052arXivmath/9912182OpenAlexW2593873342MaRDI QIDQ5929713
Stefan Waldmann, Henrique Bursztyn
Publication date: 2001
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9912182
Module categories in associative algebras (16D90) Noncommutative dynamical systems (46L55) Deformation quantization, star products (53D55) Induced representations for locally compact groups (22D30)
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The \(H\)-covariant strong Picard groupoid ⋮ *-IDEALS AND FORMAL MORITA EQUIVALENCE OF *-ALGEBRAS ⋮ Traces for Star Products on the Dual of a Lie Algebra ⋮ BRST reduction of quantum algebras with \(^*\)-involutions ⋮ Automorphisms of algebras of smooth functions and equivalent functions ⋮ Morita theory in deformation quantization ⋮ Unbounded induced representations of \(\ast \)-algebras ⋮ STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION ⋮ Symplectic microgeometry. IV: Quantization ⋮ The Picard groupoid in deformation quantization ⋮ Deformation quantization of a certain type of open systems ⋮ Involutions and representations for reduced quantum algebras ⋮ A remark on the deformation of GNS representations of *-algebras ⋮ THE COVARIANT PICARD GROUPOID IN DIFFERENTIAL GEOMETRY ⋮ Coisotropic triples, reduction and classical limit ⋮ Hermitian star products are completely positive deformations
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