Connes trace formula $$ Tr{U(h)}=2h(1)log\Lambda + \sum_{v} \int d^{*}x \frac{h(u^{-1})}{|1-u|} $$
Weil's trace $$ \int_{C}h(u)|u|d^{*}u- \sum_{\rho}\int_{C}h(u)|u|^{\rho}d^{*}u+\int_{C}h(u)d^{*}u=\sum_{v} \int d^{*}x \frac{h(u^{-1})}{|1-u|} $$
in both cases the right side is quite similar.. but are these two traces equivalent ??
