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arXiv · 1007.4034

All automorphisms of all Calkin algebras

Ilijas Farah
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Abstract

The Proper Forcing Axiom implies all automorphisms of every Calkin algebra associated with an infinite-dimensional complex Hilbert space and the ideal of compact operators are inner. As a means of the proof we introduce the notion of Polish $\omega_1$-trees and cohrerent families of Polish spaces and prove some uniformization results.

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BibTeXRIS

Ilijas Farah. 2010-07-23. All automorphisms of all Calkin algebras. https://arxiv.org/abs/1007.4034

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