Some Calkin algebras have outer automorphisms

Archive for Mathematical Logic 52 (5-6):517-524 (2013)
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Abstract

We consider various quotients of the C*-algebra of bounded operators on a nonseparable Hilbert space, and prove in some cases that, assuming some restriction of the Generalized Continuum Hypothesis, there are many outer automorphisms

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An invitation to model theory and c*-algebras.Martino Lupini - 2019 - Bulletin of Symbolic Logic 25 (1):34-100.

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