Construction and uniqueness of the C*-Weyl algebra over a general pre-symplectic space

DOI10.1063/1.1757036zbMath1071.46034OpenAlexW2078473172MaRDI QIDQ4833461

Alfred Rieckers, Ernst Binz, Reinhard Honegger

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1757036

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Geometry and quantization, symplectic methods (81S10) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Character groups and dual objects (43A40)

Related Items (16)

Linear bosonic and fermionic quantum gauge theories on curved spacetimes ⋮ Some continuous field quantizations, equivalent to the \(C^*\)-Weyl quantization ⋮ The classical limit of a state on the Weyl algebra ⋮ Information loss, mixing and emergent type \(\mathrm{III}_1\) factors ⋮ Classical limits of gauge-invariant states and the choice of algebra for strict quantization ⋮ Dynamical locality of the free scalar field ⋮ Modular nuclearity: a generally covariant perspective ⋮ The Proca field in curved spacetimes and its zero mass limit ⋮ Quantization as a categorical equivalence ⋮ A \(C^*\)-algebra for quantized principal \(U(1)\)-connections on globally hyperbolic Lorentzian manifolds ⋮ Classical limits of unbounded quantities by strict quantization ⋮ Why be regular? II. ⋮ QUANTIZATION OF LINEARIZED GRAVITY IN COSMOLOGICAL VACUUM SPACETIMES ⋮ Quantum field theory in static external potentials and Hadamard states ⋮ Electromagnetism, local covariance, the Aharonov-Bohm effect and Gauss' law ⋮ THERMAL EQUILIBRIUM STATES OF A LINEAR SCALAR QUANTUM FIELD IN STATIONARY SPACE–TIMES

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