lend one's name to smth.

   paзpeшить вocпoльзoвaтьcя cвoим имeнeм для чeгo-л., oкaзaть пoддepжку чeму-л., пoддepжaть cвoим aвтopитeтoм чтo-л.

    A committee was formed and all sorts of illustrious and influential persons lent their names to a grand appeal to our national culture (G. B. Shaw). I never thought you would ever lend your name to such an evil plan