The Weyl bundle

R. J. Plymen

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

The Weyl bundle

R. J. Plymen

Research output: Contribution to journal › Article › peer-review

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

Access to Document

10.1016/0022-1236(82)90079-9

Cite this

@article{510194d39c894400bafb802f5a9a668b,

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.",

author = "Plymen, \{R. J.\}",

year = "1982",

month = nov,

doi = "10.1016/0022-1236(82)90079-9",

language = "English",

volume = "49",

pages = "186--197",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Elsevier BV",

number = "2",

}

TY - JOUR

T1 - The Weyl bundle

AU - Plymen, R. J.

PY - 1982/11

Y1 - 1982/11

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

Access to Document

Fingerprint

Cite this