Republican presidential candidate Rep. Jack Kemp (R-N.Y.) announced he will run in the California primary, campaigning on his record as a staunch supporter of President Reagan to win votes in Reagan's home state. "There are so many people in Southern California who want to see the Reagan revolution go forward," Kemp said at a Beverly Hills news conference. "I think I am the candidate to do that." He said he plans to boost his name identification in California by using direct-mail and grass-roots organizations. In recent polls, he placed third behind Vice President George Bush and Senate Minority Leader Bob Dole (R-Kan.) in a rapidly expanding field.