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math.OA2006
The Calkin algebra has outer automorphisms
N. Christopher Phillips, Nik Weaver
Assuming the continuum hypothesis, we show that the Calkin algebra has 2^{aleph_1} outer automorphisms.
math.OA2006★ 1 cited
Not all pure states on B(H) are diagonalizable
Charles Akemann, Nik Weaver
Assuming the continuum hypothesis, we prove that B(H) has a pure state whose restriction to any masa is not pure. This resolves negatively an old conjecture of Anderson.