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Traceless AF embeddings and unsuspended $$\varvec{E}$$E -theory
Geometric and Functional Analysis  (IF2.148),  Pub Date : 2020-03-26, DOI: 10.1007/s00039-020-00528-2
James Gabe

I show that quasidiagonality and AF embeddability are equivalent properties for traceless $$\mathrm C^*$$-algebras and are characterised in terms of the primitive ideal space. For nuclear $$\mathrm C^*$$-algebras the same characterisation determines when Connes and Higson’s E-theory can be unsuspended.