Traceless AF embeddings and unsuspended $E$-theory
Abstract
I show that quasidiagonality and AF embeddability are equivalent properties for traceless $\mathrm C^\ast$-algebras and are characterised in terms of the primitive ideal space. For nuclear $\mathrm C^\ast$-algebras the same characterisation determines when Connes and Higson's $E$-theory can be unsuspended.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2018
- DOI:
- 10.48550/arXiv.1804.08095
- arXiv:
- arXiv:1804.08095
- Bibcode:
- 2018arXiv180408095G
- Keywords:
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- Mathematics - Operator Algebras
- E-Print:
- 11 pages. V2: Expanded Theorem A and its proof. Otherwise only minor changes. To appear in Geom. Funct. Anal