All automorphisms of all Calkin algebras
Logic
2011-03-18 v3 Operator Algebras
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 -trees and cohrerent families of Polish spaces and prove some uniformization results.
Keywords
Cite
@article{arxiv.1007.4034,
title = {All automorphisms of all Calkin algebras},
author = {Ilijas Farah},
journal= {arXiv preprint arXiv:1007.4034},
year = {2011}
}
Comments
To appear in Math. Res. Letters