Module bundles and module amenability

Terje Hill, Florida Atlantic University
David A. Robbins, Trinity College Hartford


Let X be a compact Hausdorff space, and let {Ax: X ϵ X} and {Bx: X ϵX} be collections of Banach algebras such that each Ax is a Bx-bimodule. Using the theory of bundles of Banach spaces as a tool, we investigate the module amenability of certain algebras of Ax-valued functions on X over algebras of Bx-valued functions on X.