A method is suggested to search for the existence of a $C$-violating transition in ${\rho }^0$ decay. The method requires a simultaneous analysis of both the usual ${\rho }^0$ decay channel ${\pi }^{+}{\pi }^{-}$, and the $G$-violating channel ${\pi }^{+}{\pi }^{-}{\pi }^0$. The ${\pi }^{+}{\pi }^{-}$ mass distribution is used to determine the kinematic regions of coherence of the ${\rho }^0$ and $\omega$ production amplitudes and the relative $\rho -\omega$ production phase. It is shown that one may then use the $\omega \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot as an analyzer of the isospin of the $3\pi$ final state from ${\rho }^0$ decay via a generalized asymmetry analysis of the $\omega$ Dalitz plot for data samples in which $\rho -\omega$ coherence is observed. A general discussion of the effects of the $\rho \to 3\pi$ decay mode upon the $\omega$ is presented, with emphasis on the search for the isospin-conserving, $C$-violating decay mode. The relation of the $\rho -\omega$ interference method to other methods to search for $C$ violation is also discussed.

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