diff --git a/src/op/c-star/involution.tex b/src/op/c-star/involution.tex
index 3b3986a..52288fb 100644
--- a/src/op/c-star/involution.tex
+++ b/src/op/c-star/involution.tex
@@ -20,9 +20,9 @@
 
 \begin{proposition}
 \label{proposition:c-star-algebra-gymnastics}
-    Let $A$ be a $C^*$ algebra, then:
+    Let $A$ be a $C^*$-algebra, then:
     \begin{enumerate}
-        \item For each $x \in A$, $\norm{x}_A = \normn{x^*}_A\norm{x}_A$. 
+        \item For each $x \in A$, $\norm{x}_A^2 = \normn{x^*}_A\norm{x}_A$. 
     \end{enumerate}
 
     If $A$ is unital, then