Calkin algebra, Kazhdan's property (T), strongly self-absorbing C*-algebras

Abstract

The Calkin algebra is not isomorphic to the corona of the stabilization of the Cuntz algebra~${\mathcal{O}}_{\infty }$, any other Kirchberg algebra, or even the corona of the stabilization of any unital, $\mathcal{Z}$-stable ${\mathrm{C}}^{\ast }$-algebra. The proof relies on properties of relative commutants of separable ${\mathrm{C}}^{\ast }$-subalgebras.

Two minor typos fixed; to appear in Proc. LMS

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