An appointee of Los Angeles Mayor Antonio Villaraigosa voted two years ago to direct millions in public pension dollars to a company that invested in his own private equity fund, according to documents obtained by The Times. Elliott Broidy, chairman of Markstone Capital Partners, served until May on the Fire and Police Pensions board, which provides benefits to the city's retired police officers and firefighters. Real estate company CIM Group invested $500,000 in Markstone's private equity fund in 2004, according to an e-mail to the city's pension agency. Three years later, Broidy voted with his colleagues on the pension board...