We show that a Fell bundle B = {Bt}t in 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 ß(in the sense that
Bts coincides with the closed linear span of
BtBs, when
the multiplication “ts”
involves no cancelation).