Today I will outline a proof of a result of Akemann and Weaver from 2004 that Diamond implies that there is a unital C* algebra generated by aleph_1 elements, which has the property that all irreducible representations (irreps) are equivalent (i.e. unitarily conjugate.) This shows the consistency of a negative solution to a problem posed by Naimark in 1948, asking if K(H) is the only C* algebra with the property that all irreps are equivalent. (In that 1948 paper Naimark showed that all irreps of K(H) are equivalent, hence the question.)
Intro to operator algebras, II
21.01.2010 15:00 - 16:30
Organiser:
KGRC
Location:
SR 101, 2. St., Währinger Str. 25