Abstract
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.
-
[AGG:Approximation]
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YEAR={2010},
NOTE={preprint},
} -
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ZBLCOMMENT = {BIBPROC: YEAR doesn't match found ZBLNUMBER},
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}
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