Plymen, R. J. (1982) The Weyl bundle. Journal of Functional Analysis, 49 (2), 186-197. (doi:10.1016/0022-1236(82)90079-9).
Abstract
Let 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.
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