Traceless AF embeddings and unsuspended $E$-theory
Operator Algebras
2019-12-24 v2
Abstract
I show that quasidiagonality and AF embeddability are equivalent properties for traceless -algebras and are characterised in terms of the primitive ideal space. For nuclear -algebras the same characterisation determines when Connes and Higson's -theory can be unsuspended.
Keywords
Cite
@article{arxiv.1804.08095,
title = {Traceless AF embeddings and unsuspended $E$-theory},
author = {James Gabe},
journal= {arXiv preprint arXiv:1804.08095},
year = {2019}
}
Comments
11 pages. V2: Expanded Theorem A and its proof. Otherwise only minor changes. To appear in Geom. Funct. Anal