The Weyl bundle

R. J. Plymen

doi:10.1016/0022-1236(82)90079-9

The Weyl bundle

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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. © 1982.

Original language	English
Pages (from-to)	186-197
Number of pages	11
Journal	Journal of Functional Analysis
Volume	49
Issue number	2
DOIs	https://doi.org/10.1016/0022-1236(82)90079-9
Publication status	Published - Nov 1982

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title = "The Weyl bundle",

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. {\textcopyright} 1982.",

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T1 - The Weyl bundle

AU - Plymen, R. J.

PY - 1982/11

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N2 - 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. © 1982.

AB - 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. © 1982.

U2 - 10.1016/0022-1236(82)90079-9

DO - 10.1016/0022-1236(82)90079-9

M3 - Article

SN - 0022-1236

VL - 49

SP - 186

EP - 197

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

The Weyl bundle

Abstract

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