[FOM] Collecting independence results
J.V.Tucker at swansea.ac.uk
Wed Oct 6 04:11:59 EDT 2004
Naimark's problem is certainly of interest to mathematicians: Let A be a
C* algebra with only one irreducible representation up to unitary
equivalence, is A isomorphic to some K(H), the C* algebra of compact
operators on a complex Hilbert space.
Charles Akemann and Nik Weaver have a recent (2003) paper called
"Consistency of a counter-example to Naimark's problem" that you might
like to look at. It uses Jensen's Diamond Principle. The case of ZFC was
I have acquired preprint but do not know if it is published. Perhaps
other colleagues in FOM could help?
John V Tucker
University of Wales Swansea
Daniel Ian Rosenbloom wrote:
> Dear FOMers,
> For my undergraduate thesis, I'm considering doing a project on
> independence results in set theory that have applications to other areas
> of mathematics. To that end, I am searching for any such results that
> exist scattered across articles and would benefit from a more
> consolidated/general/modern/detailed exposition and/or results that are of
> great general interest to mathematicians. So far, I'm looking at
> Whitehead's conjecture, Kaplansky's conjecture, and Shelah and Soifer's
> work on AC and chromatic numbers of the plane, but I want to find more.
> Would anyone have references to other results that I could use? I'd
> greatly appreciate any help.
> Daniel Rosenbloom
> FOM mailing list
> FOM at cs.nyu.edu
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