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Partial Representations and Amenable Fell Bundles over Free Groups

Ruy Exel
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Abstract

We show that a Fell bundle B = {B_t}_{t \in F}, over an arbitrary free group F, is amenable, whenever it is orthogonal (in the sense that B_x^* B_y = 0, if x and y are distinct generators of F) and semi-saturated (in the sense that B_{ts} coincides with the closed linear span of B_t B_s, when the multiplication ``ts'' involves no cancelation).

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Ruy Exel. 1997-06-17. Partial Representations and Amenable Fell Bundles over Free Groups. https://arxiv.org/abs/funct-an/9706001

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