All automorphisms of all Calkin algebras

Details All automorphisms of all Calkin algebras All automorphisms of all Calkin algebras

2010-07-23

arxiv.org/abs/1007.4034v3

Mathematics

Logic

To appear in Math. Res. Letters

Scientific paper

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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