Traceless AF embeddings and unsuspended $E$-theory

James Gabe

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arXiv · 1804.08095

Traceless AF embeddings and unsuspended $E$-theory

James Gabe

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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.

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James Gabe. 2018-04-22. Traceless AF embeddings and unsuspended $E$-theory. https://arxiv.org/abs/1804.08095

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