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arxiv: 1506.07455 · v2 · pith:YTKSY3CFnew · submitted 2015-06-24 · 🧮 math.OA · math.LO

The Calkin algebra is not countably homogeneous

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keywords algebracalkincountablyhomogeneouscomponentconnectedcontinuousfurthermore
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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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