Product Inequalities for ${\mathbb{T}}^{⋊}$-Stabilized Scalar Curvature

We study metric invariants of Riemannian manifolds $X$ defined via the ${\mathbb{T}}^{⋊}$-stabilized scalar curvatures of manifolds $Y$ mapped to $X$ and prove in some cases additivity of these invariants under Riemannian products $X_1\times X_2$.