The Weyl bundle

DOI10.1016/0022-1236(82)90079-9zbMath0499.58015OpenAlexW1996173772MaRDI QIDQ1171798

Roger Plymen

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90079-9

zbMATH Keywords

Dixmier-Douady invariantsymplectic spinorsHilbert bundlessymplectic vector bundlemetaplectic structure

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Characteristic classes and numbers in differential topology (57R20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Geometric quantization (53D50)

Related Items (3)

\(K\)-theory and homotopies of 2-cocycles on group bundles ⋮ The Fourier-Weyl algebra ⋮ C ∗-completions and the DFR-algebra

Cites Work

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• The \(C^ *\)-algebras of a free Boson field
• Sur certains groupes d'opérateurs unitaires
• Cohomologie non abélienne et espaces fibrés
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres

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