Geodesic
All automorphisms of the Calkin algebra are inner
Ilijas Farah1
1 York University<br/>Toronto, Ontario<br/> Canada<br/><br/>and<br/> <br/>Matematicki Institut<br/>Belgrade<br/>Serbia
Annals of mathematics, Tome 173 (2011) no. 2, pp. 619-661.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove that it is relatively consistent with the usual axioms of mathematics that all automorphisms of the Calkin algebra are inner. Together with a 2006 Phillips-Weaver construction of an outer automorphism using the Continuum Hypothesis, this gives a complete solution to a 1977 problem of Brown-Douglas-Fillmore. We also give a simpler and self-contained proof of the Phillips-Weaver result.
DOI : 10.4007/annals.2011.173.2.1

Ilijas Farah 1

1 York University<br/>Toronto, Ontario<br/> Canada<br/><br/>and<br/> <br/>Matematicki Institut<br/>Belgrade<br/>Serbia 
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Ilijas Farah. All automorphisms of the Calkin algebra are inner. Annals of mathematics, Tome 173 (2011) no. 2, pp. 619-661. doi : 10.4007/annals.2011.173.2.1. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.173.2.1/

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