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

Ilijas Farah

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arXiv · 2208.12301

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

Ilijas Farah

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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 ${\mathrm C}^*$-algebra. The proof relies on properties of relative commutants of separable ${\mathrm C}^*$-subalgebras.

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Ilijas Farah. 2022-08-25. Calkin algebra, Kazhdan's property (T), strongly self-absorbing C*-algebras. https://arxiv.org/abs/2208.12301

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