2006/06/07 by Charles A. Akemann, Charles Akemann, Akemann, Charles +2
Mathematics · #03E50 #46A32 #46L30 #47L05 #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Logic (math.LO) #Operator Algebras (math.OA) #Random Matrices and Applications #Spectral Theory in Mathematical Physics #math.FA #math.LO #math.OA #msc:03E50 #msc:46A32 #msc:46L30 #msc:47L05
paper · pdf · doi:10.48550/arxiv.math/0606168
3 pages
arxiv created 2006/06/07 · openalex publication_date 2006/06/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.