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The proof that faster-than-light communication is not permitted by quantum mechanics derived some years ago by three of us is extended to cover the case of measurements which do not fit within the standard scheme based on sets of orthogonal projections. A detailed discussion of a recent proposal of superluminal transmission making resort to a CP-violating interaction is presented. It is shown that such a proposal cannot work.The possibility of faster-than-light communication through the collapse of the wave function in experimental set-ups of the EPR type is, at a superficial analysis, very tempting

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