  We point out that oscillation between the two scalar tau (stau) mass
eigenstates can give rise to CP-violation if some parameters appearing in the
stau or chargino/neutralino mass matrices are complex. If stau^+ and stau^-
decay into different charginos or neutralinos, rate asymmetries as large as 20%
are possible. If both staus decay directly into tau + LSP, CP-violation can in
principle still be observed through an energy asymmetry of the tau decay
products, but this asymmetry never exceeds the percent level. Even the rate
asymmetries become small if the mass splitting between the two stau mass
eigenstates is larger than 1%.
