More housekeeping.

refs.bib

@@ -319,4 +319,11 @@
   pages={482--489},
   year={1958},
   publisher={Duke University Press}
-}
+}
+
+@misc{AnantharamanPopa,
+  author       = {Anantharaman, Claire and Popa, Sorin},
+  title        = {An introduction to {II$_1$} factors},
+  howpublished = {\url{https://www.math.ucla.edu/~popa/Books/IIunV15.pdf}},
+  note         = {Book draft}
+}

src/dyn/meas/index.tex

@@ -0,0 +1,5 @@
+\chapter{Measurable Dynamics}
+\label{chap:measurable-dynamics}
+
+\input{./definitions.tex}
+

src/op/index.tex

@@ -4,6 +4,7 @@
 \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}

src/op/notation.tex

@@ -20,6 +20,7 @@
     $PS(A)$ & Pure state space of a $C^*$-algebra $A$. & \autoref{definition:pure-state} \\ 
     $\dpn{x, y}{\phi}$ & Defined as $\dpn{y^*x, \phi}{A}$, the pseudo inner product associated to a positive linear functional. & \autoref{definition:cstar-state-pseudo-inner-product} \\ 
     $(H_\phi, \pi_\phi, \xi_\phi)$ & 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} \\ 
     $\text{Proj}(A)$ & Projections in $A$. & \autoref{definition:vn-projection-lattice} \\