  A residual-type a posteriori error estimation is developed for an interior
penalty virtual element method (IPVEM) to solve a Kirchhoff plate bending
problem. The computable error estimator is incorporated. We derive the
reliability and efficiency of the a posteriori error bound by constructing an
enriching operator and establishing some related error estimates. As an outcome
of the error estimator, an adaptive VEM is introduced by means of the mesh
refinement strategy with the one-hanging-node rule. Numerical results on
various benchmark tests confirm the robustness of the proposed error estimator
and show the efficiency of the resulting adaptive VEM. (This is the initial
version; additional content will be included in the final version.)
