Housekeeping: moved von Neumann algebras to its own part.

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Bokuan Li
2026-11-06 17:44:20 -05:00
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\chapter{Notations}
\label{chap:vna-notations}
\begin{tabular}{lll}
\textbf{Notation} & \textbf{Description} & \textbf{Source} \\
\hline
$E_{x, y}$ & Section of a spectral measure $E$, where $E_{x, y}(B) = \dpn{E(B)x, y}{H}$. & \autoref{definition:spectral-measure} \\
$\text{Proj}(A)$ & Projections in $A$. & \autoref{definition:vn-projection-lattice} \\
$Z(P)$ & Central support of $P \in \text{Proj}(A)$. & \autoref{definition:central-support-vna} \\
$P \sim Q$ & $P, Q \in \text{Proj}(A)$ are Murray-von Neumann equivalent & \autoref{definition:murray-von-neumann-equivalent} \\
$P \preceq Q$ & $P$ is Murray-von Neumann subequivalent to $Q$. & \autoref{definition:murray-von-neumann-subequivalent}
\end{tabular}