Partial Representations and Amenable Fell Bundles over Free Groups
funct-an
2008-02-03 v1 Operator Algebras
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).
Keywords
Cite
@article{arxiv.funct-an/9706001,
title = {Partial Representations and Amenable Fell Bundles over Free Groups},
author = {Ruy Exel},
journal= {arXiv preprint arXiv:funct-an/9706001},
year = {2008}
}
Comments
Plain TeX, 17 pages, no figures