A Lawrence woman was arrested yesterday on charges of participating in a ring that sold illegal immigrants false identity papers. A federal indictment issued in Puerto Rico said Carmen Amada Beltre, 47, acted as a broker in Massachusetts for the ring, which authorities said sold the false papers in 15 states. Three other Massachusetts residents have already been taken into custody in the case. When Beltre was stopped for a traffic violation in Lawrence last year, police said they found she had identification papers for 34 different people. At that time, she told police Mayor William Lantigua would help her. Lantigua later told the Globe that Beltre was not a close friend and that he did not intervene on her behalf.