equal
deleted
inserted
replaced
103 (cf. uniqueness statement in \ref{CHprop}.) |
103 (cf. uniqueness statement in \ref{CHprop}.) |
104 \end{proof} |
104 \end{proof} |
105 |
105 |
106 \medskip |
106 \medskip |
107 |
107 |
108 In view of \ref{hochthm}, we have proved that $HH_*(k[t]) \cong C_*(\Sigma^\infty(S^1), k)$, |
108 In view of Theorem \ref{thm:hochschild}, we have proved that $HH_*(k[t]) \cong C_*(\Sigma^\infty(S^1), k)$, |
109 and that the cyclic homology of $k[t]$ is related to the action of rotations |
109 and that the cyclic homology of $k[t]$ is related to the action of rotations |
110 on $C_*(\Sigma^\infty(S^1), k)$. |
110 on $C_*(\Sigma^\infty(S^1), k)$. |
111 \nn{probably should put a more precise statement about cyclic homology and $S^1$ actions in the Hochschild section} |
111 \nn{probably should put a more precise statement about cyclic homology and $S^1$ actions in the Hochschild section} |
112 Let us check this directly. |
112 Let us check this directly. |
113 |
113 |