  We construct discrete symmetry transformations for deformed relativistic
kinematics based on group valued momenta. We focus on the specific example of
kappa-deformations of the Poincare algebra with associated momenta living on (a
sub-manifold of) de Sitter space. Our approach relies on the description of
quantum states constructed from deformed kinematics and the observable charges
associated with them. The results we present provide the first step towards the
analysis of experimental bounds on the deformation parameter kappa to be
derived via precision measurements of discrete symmetries and CPT.
