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The violation of CP symmetry is one of Sakharov's conditions for thematter-antimatter asymmetry of the Universe. Currently known sources of CPviolation in the quark and neutrino sectors are insufficient to account forthis. Is CP also violated in the Higgs sector? Could the SM-like Higgs boson bea mixture of even and odd CP states of an extended Higgs sector? With whatprecision could such effects be measured at future electron-positron colliders?These questions will be discussed in the light of the latest and ongoingstudies at ILC.

Probing the CP properties of the Higgs sector at ILC