The teleparallelism equivalent GR\parallel of gravity is considered. After its complexification via a canonical transformation, it becomes a true Yang--Mills theory of translations. It is shown that states constructed from the translational Chern--Simons term \underline \cal CTT fully solve the corresponding Hamiltonian and diffeomorphism constraints.
PACS numbers: 04.60.Ds, 04.60.--m, 02.40.--k
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