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Amenability of the Restricted Fourier Algebras

Amenability of the Restricted Fourier Algebras

We discuss amenability of the restricted Fourier-Stieltjes algebras on inverse semigroups. We show that, for an E -unitary inverse semigroup, amenability of the restricted Fourier-Stieltjes algebra is related to the amenability of an associated Banach algebra on a Fell bundle.