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AN AMENABILITY PROPERTY OF ALGEBRAS OF FUNCTIONS ON SEMIDIRECT PRODUCTS OF SEMIGROUPS

摘要


Let S_1 and S_2 be semitopological semigroups, S_1 τ  S_2 a semidirect product. An amenability property is established for algebras of functions on S_1 τ  S_2. This result is used to decompose the kernel of the weakly almost periodic compactification of S_1 τ  S_2 into a semidirect product.

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