Puerto Rican flags and U.S. flag hang outside in a community in northern Puerto Rico, on Oct. 25, 2017. A new study documents a deepening crisis of public trust and sovereignty in Puerto Rico. (Erika P. Rodríguez/The New York Times) By THE STAR STAFF People in Puerto Rico are losing faith not only in their elected leaders but in the very idea that the island’s government can meaningfully chart its own course, according to a new study that documents a deepening crisis of trust and sovereignty….