  CP violation in top physics is reviewed. The Standard Model has negligible
effects, consequently CP violation searches involving the top quark may
constitute the best way to look for physics beyond the Standard Model.
Non-standard sources of CP violation due to an extended Higgs sector with and
without natural flavor conservation and supersymmetric theories are discussed.
Experimental feasibility of detecting CP violation effects in top quark
production and decays in high energy e+ e-, gamma-gamma, mu+ mu-, pp and p-bar
p colliders are surveyed. Searches for the electric, electro-weak and the
chromo-electric dipole moments of the top quark in e+ e- -> t-bar t and in p p
-> t-bar t X are descibed. In addition, other mechanisms that appear promising
for experiments, e.g., tree-level CP violation in e+ e- -> t-bar t h, t-bar t
Z, t-bar t nu_e-bar nu_e and in the top decay t -> b tau nu_tau and CP
violation driven by s-channel Higgs exchanges in p p, gamma gamma, mu+ mu- ->
t-bar t etc., are also discussed.
