Bundles of Banach algebras

J. W. Kitchen and D. A. Robbins

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-10

Abstract:

We study bundles of Banach algebras π : A → X , where each fiber A x = π − 1 ( { x } ) is a Banach algebra and X is a compact Hausdorff space. In the case where all fibers are commutative, we investigate how the Gelfand representation of the section space algebra Γ ( π ) relates to the Gelfand representation of the fibers. In the general case, we investigate how adjoining an identity to the bundle π : A → X relates to the standard adjunction of identities to the fibers.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:329123

DOI: 10.1155/S0161171294000955

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