The Weyl bundle
Copyright policy )The Weyl bundle
AbstractLet F be a symplectic vector bundle over a space X. We construct a bundle of elementary C∗-algebras over X, and prove that the Dixmier-Douady invariant of this bundle is zero. The underlying Hilbert bundles, with their associated module structures, determine a characteristic class: we prove that this class is the second Stiefel-Whitney class of F.
- University of Southampton United Kingdom
- University of Salford United Kingdom
symplectic spinors, Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.), Dixmier-Douady invariant, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, 510, symplectic vector bundle, Geometric quantization, Characteristic classes and numbers in differential topology, General geometric structures on manifolds (almost complex, almost product structures, etc.), metaplectic structure, Hilbert bundles, Analysis
symplectic spinors, Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.), Dixmier-Douady invariant, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, 510, symplectic vector bundle, Geometric quantization, Characteristic classes and numbers in differential topology, General geometric structures on manifolds (almost complex, almost product structures, etc.), metaplectic structure, Hilbert bundles, Analysis
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