I was trying to read Fine and Triantafillou's paper "On the equivariant formality of Kahler manifolds with finite group action".
They have defined the enlargement at $H$ of a system of DGA's $A$, as
$I_H(A)(G/K)= A(G/K) \otimes \underline{A}_H(G/K)$ for $K$ proper subgroup of a conjugate of $H$ and
$=A(G/K)$ otherwise, here $\underline{A}_H$ is acyclic obtained by suspension trick.
Is there any typo or am I missing something? While considering the level $G/H$, the term $I_H(A)(G/H)$ is just same as $A(G/H)$ so nothing is added in this level?
Thanks in advance!!
