Masters Thesis Presentation

Pawel Sarkowicz, Department of Pure Mathematics, University of Waterloo

“Separable Exact C*-Algebras”

A C*-algebra A is exact if short exact sequences are preserved under the min-tensor product with A (that is, (·) ⊗min A is an exact functor). We examine exact C*-algebras and give several characterizations in the separable setting, with the focus on two main results. The first, due to Kirchberg, is that every separable exact C*-algebra can be realized as a subquotient of the UHF algebra M2∞. The second, due to Kirchberg and Phillips, is that every separable exact C*-algebra embeds into the Cuntz algebra O2, with the embedding being unital if the algebra is.

M3-3103