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.