Relative trace
= Relative trace
{title2=$\operatorname{Tr}_H^G$}
For $\alpha\in\operatorname{End}_{RH}(M)$, the relative trace is
$$
\operatorname{Tr}_H^G(\alpha)
=\sum_{g\in[G/H]}g\alpha g^{-1}\in\operatorname{End}_{RG}(M).
$$
= Relative trace
{title2=$\operatorname{Tr}_H^G$}
For $\alpha\in\operatorname{End}_{RH}(M)$, the relative trace is
$$
\operatorname{Tr}_H^G(\alpha)
=\sum_{g\in[G/H]}g\alpha g^{-1}\in\operatorname{End}_{RG}(M).
$$