The Calkin algebra is not countably homogeneous

Farah, Ilijas; Hirshberg, Ilan

doi:10.1090/proc/13137

The Calkin algebra is not countably homogeneous
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by Ilijas Farah and Ilan Hirshberg PDF

Proc. Amer. Math. Soc. 144 (2016), 5351-5357 Request permission

Abstract:

We show that the Calkin algebra is not countably homogeneous, in the sense of continuous model theory. We furthermore show that the connected component of the unitary group of the Calkin algebra is not countably homogeneous.

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