All automorphisms of the Calkin algebra are inner

Details All automorphisms of the Calkin algebra are inner All automorphisms of the Calkin algebra are inner

2007-05-22

arxiv.org/abs/0705.3085v10

Mathematics

Operator Algebras

Only some minor changes

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

All automorphisms of the Calkin algebra are inner does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with All automorphisms of the Calkin algebra are inner, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and All automorphisms of the Calkin algebra are inner will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-415530