diff --git a/document.tex b/document.tex
index 92c72d7..dda0003 100644
--- a/document.tex
+++ b/document.tex
@@ -17,6 +17,7 @@ Occasionally, I make up some definitions to play with. These definition blocks w
 \input{./src/harmonic/index}
 \input{./src/dg/index}
 \input{./src/op/index}
+\input{./src/vna/index}
 \input{./src/dyn/index}
 %\input{./src/process/index}
 
diff --git a/src/op/example/index.tex b/src/op/example/index.tex
index ddf1ba0..9a12f24 100644
--- a/src/op/example/index.tex
+++ b/src/op/example/index.tex
@@ -8,4 +8,3 @@
 \input{./disk.tex}
 \input{./convolution.tex}
 \input{./bc.tex}
-\input{./bb.tex}
diff --git a/src/op/index.tex b/src/op/index.tex
index c9ddabc..2525075 100644
--- a/src/op/index.tex
+++ b/src/op/index.tex
@@ -1,10 +1,8 @@
-\part{Operator Algebras}
+\part{Fundamentals of Operator Algebras}
 \label{part:operator-algebras}
 
 \input{./banach/index.tex}
 \input{./c-star/index.tex}
-\input{./vn/index.tex}
-\input{./ii1/index.tex}
 \input{./example/index.tex}
 \input{./system/index.tex}
 \input{./notation.tex}
\ No newline at end of file
diff --git a/src/op/notation.tex b/src/op/notation.tex
index ef63390..942315f 100644
--- a/src/op/notation.tex
+++ b/src/op/notation.tex
@@ -22,7 +22,7 @@
     $(H_\phi, \pi_\phi, \xi_\phi)$ & GNS triple associated with $\phi \in S(A)$. & \autoref{definition:gns-triple} \\ 
     $L^2(M, \phi)$ & Hilbert space of the GNS triple associated with a faithful $\phi \in S(A)$. & \autoref{definition:gns-triple} \\ 
     $U(T)$ & Cayley transform of $T$. & \autoref{definition:cayley-transform-bounded} \\ 
-    $E_{x, y}$ & $E_{x, y}(B) = \dpn{E(B)x, y}{H}$. & \autoref{definition:spectral-measure} \\ 
+    $E_{x, y}$ & 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} \\ 
diff --git a/src/op/example/bb.tex b/src/vna/example/bb.tex
similarity index 100%
rename from src/op/example/bb.tex
rename to src/vna/example/bb.tex
diff --git a/src/op/example/hii1.tex b/src/vna/example/hii1.tex
similarity index 100%
rename from src/op/example/hii1.tex
rename to src/vna/example/hii1.tex
diff --git a/src/vna/example/index.tex b/src/vna/example/index.tex
new file mode 100644
index 0000000..0f65960
--- /dev/null
+++ b/src/vna/example/index.tex
@@ -0,0 +1,8 @@
+\chapter{Constructions of von Neumann Algebras}
+\label{chap:vna-example}
+
+
+\input{./bb.tex}
+\input{./lg.tex}
+\input{./hii1.tex}
+
diff --git a/src/op/example/lg.tex b/src/vna/example/lg.tex
similarity index 100%
rename from src/op/example/lg.tex
rename to src/vna/example/lg.tex
diff --git a/src/op/ii1/fg.tex b/src/vna/ii1/fg.tex
similarity index 100%
rename from src/op/ii1/fg.tex
rename to src/vna/ii1/fg.tex
diff --git a/src/op/ii1/index.tex b/src/vna/ii1/index.tex
similarity index 100%
rename from src/op/ii1/index.tex
rename to src/vna/ii1/index.tex
diff --git a/src/op/ii1/trace.tex b/src/vna/ii1/trace.tex
similarity index 100%
rename from src/op/ii1/trace.tex
rename to src/vna/ii1/trace.tex
diff --git a/src/vna/index.tex b/src/vna/index.tex
new file mode 100644
index 0000000..19cd54e
--- /dev/null
+++ b/src/vna/index.tex
@@ -0,0 +1,9 @@
+\part{Von Neumann Algebras}
+\label{part:vna}
+
+\input{./vn/index.tex}
+\input{./example/index.tex}
+\input{./ii1/index.tex}
+\input{./notation.tex}
+
+
diff --git a/src/vna/notation.tex b/src/vna/notation.tex
new file mode 100644
index 0000000..67650a0
--- /dev/null
+++ b/src/vna/notation.tex
@@ -0,0 +1,13 @@
+\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}
\ No newline at end of file
diff --git a/src/op/vn/cayley.tex b/src/vna/vn/cayley.tex
similarity index 100%
rename from src/op/vn/cayley.tex
rename to src/vna/vn/cayley.tex
diff --git a/src/op/vn/commutative.tex b/src/vna/vn/commutative.tex
similarity index 100%
rename from src/op/vn/commutative.tex
rename to src/vna/vn/commutative.tex
diff --git a/src/op/vn/fc.tex b/src/vna/vn/fc.tex
similarity index 100%
rename from src/op/vn/fc.tex
rename to src/vna/vn/fc.tex
diff --git a/src/op/vn/index.tex b/src/vna/vn/index.tex
similarity index 82%
rename from src/op/vn/index.tex
rename to src/vna/vn/index.tex
index b3aba3f..53ae608 100644
--- a/src/op/vn/index.tex
+++ b/src/vna/vn/index.tex
@@ -1,4 +1,4 @@
-\chapter{Von Neumann Algebras}
+\chapter{Fundamentals of von Neumann Algebras}
 \label{chap:von-neumann-algebras}
 
 \input{./topologies.tex}
diff --git a/src/op/vn/projection.tex b/src/vna/vn/projection.tex
similarity index 100%
rename from src/op/vn/projection.tex
rename to src/vna/vn/projection.tex
diff --git a/src/op/vn/spec.tex b/src/vna/vn/spec.tex
similarity index 100%
rename from src/op/vn/spec.tex
rename to src/vna/vn/spec.tex
diff --git a/src/op/vn/topologies.tex b/src/vna/vn/topologies.tex
similarity index 100%
rename from src/op/vn/topologies.tex
rename to src/vna/vn/topologies.tex
diff --git a/src/op/vn/type-decomp.tex b/src/vna/vn/type-decomp.tex
similarity index 100%
rename from src/op/vn/type-decomp.tex
rename to src/vna/vn/type-decomp.tex
diff --git a/src/op/vn/vn.tex b/src/vna/vn/vn.tex
similarity index 100%
rename from src/op/vn/vn.tex
rename to src/vna/vn/vn.tex
diff --git a/src/op/vn/weak.tex b/src/vna/vn/weak.tex
similarity index 100%
rename from src/op/vn/weak.tex
rename to src/vna/vn/weak.tex