Authors: | Farah, Ilijas | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | All automorphisms of all Calkin algebras | Journal: | Mathematical Research Letters | Volume: | 18 | Issue: | 3 | First page: | 489 | Last page: | 503 | Issue Date: | 1-Jan-2011 | Rank: | M21 | ISSN: | 1073-2780 | DOI: | 10.4310/MRL.2011.v18.n3.a9 | 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 notions of metric ε1-trees and coherent families of Polish spaces and develop their theory parallel to the classical theory of trees of height !1 and coherent families indexed by a δ-directed ordering. |
Publisher: | International Press |
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