Equivariant K -theory of quasitoric manifolds

Let X(Q, Λ) be a quasitoric manifold associated to a simple convex polytope Q and characteristic function Λ. Let T≅(S1)n denote the compact n-torus acting on X= X(Q, Λ). The main aim of this article is to give a presentation of the T-equivariant K-ring of X, as a Stanley–Reisner ring over K∗(pt). We also derive the presentation for the ordinary K-ring of X.