Module bundles and module amenability

ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA（2021）

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摘要

Let X be a compact Hausdorff space, and let {A(x) : x is an element of X} and {B-x: x is an element of X} be collections of Banach algebras such that each A(x) is a B-x-bimodule. Using the theory of bundles of Banach spaces as a tool, we investigate the module amenability of certain algebras of A(x)-valued functions on X over algebras of B-x-valued functions on X.

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关键词

Bundles of Banach algebras, bundles of Banach modules, module amenability

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