The moment angle complex Z_K for a simplicial complex K was introduced by Buchstaber-Panov as a disc-circle decomposition of the Davis-Januszkiewicz universal space which is used to introduce a quasi-toric manifold. In this talk, I will explain that the equivariant cohomology of moment angle complexes with respect to the action of a subgroup of the torus that acts canonically on Z_K can be described in terms of Tor module of the Stanley-Reisner rings, and based on that, I will discuss about when the integral cohomology of a toric orbifold is the quotient of the Stanley-Reisner ring by linear terms as it is always so with rational coefficients. If times allows, I will discuss more general set-up.

This is joint work with Shisen Luo and Frank Moore.