--- a/text/comm_alg.tex Tue Mar 30 16:31:29 2010 -0700
+++ b/text/comm_alg.tex Tue Mar 30 16:48:26 2010 -0700
@@ -95,13 +95,13 @@
\end{proof}
-\begin{prop} \label{ktcdprop}
+\begin{prop} \label{ktchprop}
The above maps are compatible with the evaluation map actions of $C_*(\Diff(M))$.
\end{prop}
\begin{proof}
The actions agree in degree 0, and both are compatible with gluing.
-(cf. uniqueness statement in \ref{CDprop}.)
+(cf. uniqueness statement in \ref{CHprop}.)
\end{proof}
\medskip
@@ -128,7 +128,7 @@
and is zero for $i\ge 2$.
\nn{say something about $t$-degrees also matching up?}
-By xxxx and \ref{ktcdprop},
+By xxxx and \ref{ktchprop},
the cyclic homology of $k[t]$ is the $S^1$-equivariant homology of $\Sigma^\infty(S^1)$.
Up to homotopy, $S^1$ acts by $j$-fold rotation on $\Sigma^j(S^1) \simeq S^1/j$.
If $k = \z$, $\Sigma^j(S^1)$ contributes the homology of an infinite lens space: $\z$ in degree