Partial representations and amenable fell bundles over free groups

Ruy Exel

Vol. 192 (2000), No. 1, 39–63

DOI: 10.2140/pjm.2000.192.39

Abstract

We show that a Fell bundle 𝔹 = {B_t}_t∈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 ß(in the sense that B_ts coincides with the closed linear span of B_tB_s, when the multiplication “ts” involves no cancelation).

Milestones

Received: 20 April 1998

Published: 1 January 2000