Partial representations and amenable Fell bundles over free groups

Authors
Citation
R. Exel, Partial representations and amenable Fell bundles over free groups, PAC J MATH, 192(1), 2000, pp. 39-63
Citations number
14
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
192
Issue
1
Year of publication
2000
Pages
39 - 63
Database
ISI
SICI code
0030-8730(200001)192:1<39:PRAAFB>2.0.ZU;2-2
Abstract
We show that a Fell bundle B = {B-t}(t is an element of F), over an arbitra ry free group F, is amenable, whenever it is orthogonal (in the sense that B-x* 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 BtBs, whe n the multiplication "ts" involves no cancelation).