For any von Neumann algebra $A$, is there a commutative von Neumann algebra $C$ and a normal completely positive map $\alpha$ such that $\alpha C=A$ (or $\alpha C$ is dense w.r.t ultraweak topology)?
2026-03-31 12:03:39.1774958619
For any von Neumann algebra $A$, is there a commutative von Neumann algebra $C$ and a normal completely positive map $\alpha$ such that $\alpha C=A$
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