C ∗-completions and the DFR-algebra

DOI10.1063/1.4940718zbMath1361.81082arXiv1412.3762OpenAlexW2964154414MaRDI QIDQ2795599

Daniel V. Paulino, Michael Forger

Publication date: 21 March 2016

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

Full work available at URL: https://arxiv.org/abs/1412.3762

zbMATH Keywords

Weyl-Moyal star productquantum spacetime\(C^*\)-algebra of canonical commutation relations\(C^*\)-completion of *-algebra bundle

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55) Methods of noncommutative geometry in general relativity (83C65) Noncommutative function spaces (46L52) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (2)

Convergent star products for projective limits of Hilbert spaces ⋮ C ∗-completions and the DFR-algebra

Cites Work

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• Quantum spacetime: a disambiguation
• Moyal planes are spectral triples
• Analytic vectors
• The resolvent algebra: A new approach to canonical quantum systems
• Equivariant KK-theory and the Novikov conjecture
• The Weyl bundle
• On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
• The smallest C\(^*\)-algebra for canonical commutation relations
• The quantum structure of spacetime of the Planck scale and quantum fields
• On the boundedness of pseudo-differential operators
• On a conjectured noncommutative Beals-Cordes-type characterization
• C ∗-completions and the DFR-algebra
• Continuity of the Inverse
• Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
• Shadow of noncommutativity
• Deformation quantization for actions of 𝑅^{𝑑}
• LOCALLY C*-ALGEBRA

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