Partial Representations and Amenable Fell Bundles over Free Groups
Ruy Exel
Abstract
We show that a Fell bundle B = Btt ∈ F, over an arbitrary free group F, is amenable, whenever it is orthogonal (in the sense that Bx* By = 0, if x and y are distinct generators of F) and semi-saturated (in the sense that Bts coincides with the closed linear span of Bt Bs, when the multiplication ``ts'' involves no cancelation).
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