Equivariant Cohomology of Moment–Angle Complexes with Respect to Coordinate Subtori

We compute the equivariant cohomology $H^*_{T_I}(\mathcal Z_{\mathcal K})$ of moment–angle complexes $\mathcal Z_{\mathcal K}$ with respect to the action of coordinate subtori $T_I \subset T^m$. We give a criterion for $\mathcal Z_{\mathcal K}$ to be equivariantly formal, and obtain specifications for the cases of flag complexes and graphs.