title: B(H) has a pure state that is not multiplicative on any masa.
abstract: Assuming the continuum hypothesis, we prove that Bernoulli function(H) has a pure state whose restriction to any masa is not pure. This resolves negatively old conjectures of Kadison and Singer and of Anderson.
authors: Department of Mathematics, University of California, Santa Barbara, CA 93106, USA. akemann@math.ucsb.edu
authors: Charles
authors: C
authors: Akemann
authors: Nik
authors: N
authors: Weaver