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The Weyl bundle

The Weyl bundle
The Weyl bundle

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.

0022-1236
186-197
Plymen, R. J.
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Plymen, R. J.
76de3dd0-ddcb-4a34-98e1-257dddb731f5

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

Record type: Article

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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More information

Published date: November 1982

Identifiers

Local EPrints ID: 422328
URI: https://eprints.soton.ac.uk/id/eprint/422328
ISSN: 0022-1236
PURE UUID: 8313a4f4-69fa-43cd-a038-1ae912867ba1

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Date deposited: 20 Jul 2018 16:31
Last modified: 20 Jul 2018 16:31

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