Definition 37.8.2 (Abelian Projection).label Let $H$ be a complex Hilbert space, $A \subset B(H)$ be a von Neumann algebra, and $P \in \text{Proj}(A)$, then $P$ is abelian if $PAP$ is abelian.
Definition 37.8.2 (Abelian Projection).label Let $H$ be a complex Hilbert space, $A \subset B(H)$ be a von Neumann algebra, and $P \in \text{Proj}(A)$, then $P$ is abelian if $PAP$ is abelian.
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