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The dimension-six CP-violating SU_L(2)\times U_Y(1) invariant operatorsinvolving the tau lepton are studied. The constraints from the availableexperimental data on tau dipole moments are derived. Under the currentconstraints, the induced CP-violating effects could possibly be observed in tau-> 3\pi \nu_{\tau} at the future tau-charm factory.Comment: comments added, refs corrected, version to appear in PR

EffectiveCP-violating operators of the tau lepton and some of their phenomenologies