Algebras of the equivariant cohomologies of an $\mathfrak F$-classifying $T^k$-spaces

We consider equivariant cohomologies generated by the Borel functor $ E_\mathfrak F$ for the family of orbit types $\mathfrak F\subset\mathrm{Conj}_G$, which translates equivariant homotopy category EQUIV-HOMOT in $\mathfrak F$-isovariant homotopy category $\mathrm{ISOV}_\mathfrak F$-$\mathrm{HOMOT}$. Due to the effect of concentration of isovariant absolute extensors $\mathrm{ISOV}_\mathfrak F$-$\mathrm{AE}$ we calculate in explicit form the algebra of equivariant cohomologies of an $\mathfrak F$-classifying $G$-spaces for finite families of orbit types $\mathfrak F\subset\mathrm{Conj}_G$ in the case of actions of $k$-dimensional torus $G=T^k$.