B(H) has a pure state that is not multiplicative on any masa.
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- Record sourced from PubMed, PMID 18378909.
- Also identified by DOI 10.1073/pnas.0801176105 and PMC identifier 2291113.
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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.