Definition 37.8.10 (Type $\vnIII$).label Let $H$ be a complex Hilbert space and $A \subset B(H)$ be a von Neumann algebra, then $A$ is of type $\vnIII$ if $A$ has no non-zero finite projections.
Definition 37.8.10 (Type $\vnIII$).label Let $H$ be a complex Hilbert space and $A \subset B(H)$ be a von Neumann algebra, then $A$ is of type $\vnIII$ if $A$ has no non-zero finite projections.
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