Partial Representations and Amenable Fell Bundles over Free Groups

Details Partial Representations and Amenable Fell Bundles over Free Groups Partial Representations and Amenable Fell Bundles over Free Groups

1997-06-17

arxiv.org/abs/funct-an/9706001v1

Mathematics

Operator Algebras

Plain TeX, 17 pages, no figures

Scientific paper

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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