Equivariant $K$-theory of quasitoric manifolds

Let $X(Q,\mathrm{\Lambda })$ be a quasitoric manifold associated to a simple convex polytope $Q$ and characteristic function $\mathrm{\Lambda }$. Let $T\cong ($\mathbb{S}$^1)^n$denotethecompact$n$-torusactingon$X=X(Q,\Lambda)$. 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 $K^{\ast }(pt)$. We also derive the presentation for the ordinary $K$-ring of $X$.