Traceless AF embeddings and unsuspended E -theory

Authors

James Gabe, University of WollongongFollow

RIS ID

142824

Publication Details

Gabe, J. (2020). Traceless AF embeddings and unsuspended E -theory. Geometric and Functional Analysis,

Abstract

2020, Springer Nature Switzerland AG. I show that quasidiagonality and AF embeddability are equivalent properties for traceless C ∗-algebras and are characterised in terms of the primitive ideal space. For nuclear C ∗-algebras the same characterisation determines when Connes and Higson's E-theory can be unsuspended.