Hermitian star products are completely positive deformations

DOI10.1007/s11005-005-4844-3zbMath1081.53078arXivmath/0410350OpenAlexW3099017276MaRDI QIDQ2571657

Stefan Waldmann, Henrique Bursztyn

Publication date: 14 November 2005

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410350

zbMATH Keywords

deformation quantizationcomplete positivitypositive deformationquantized formal symplectic realization

Mathematics Subject Classification ID

Deformation quantization, star products (53D55)

Related Items (8)

LOCALLY NONCOMMUTATIVE SPACE-TIMES ⋮ Convergent star products on cotangent bundles of Lie groups ⋮ BRST reduction of quantum algebras with \(^*\)-involutions ⋮ Morita theory in deformation quantization ⋮ Convergence of the Wick star product ⋮ GENERALIZED COHERENT STATES APPROACH TO DEFORMATION QUANTIZATION ⋮ Deformation quantization of a certain type of open systems ⋮ Star products made (somewhat) easier

Cites Work

• Local cohomology of the algebra of \(C^\infty\) functions on a connected manifold
• Deformation theory and quantization. I: Deformations of symplectic structures
• Homogeneous Fedosov star products on cotangent bundles. I: Weyl and standard ordering with differential operator representation
• Formal GNS construction and states in deformation quantization
• A Fedosov star product of the Wick type for Kähler manifolds
• Completely positive inner products and strong Morita equivalence
• On the deformation of rings and algebras
• STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION
• Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization.

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