Invariant stably complex structures on topological toric manifolds

We show that any $({\text{C}}^{\ast }{)}^n$-invariant stably complex structure on a topological toric manifold of dimension $2n$ is integrable. We also show that such a manifold is weakly $({\text{C}}^{\ast }{)}^n$-equivariantly isomorphic to a toric manifold.