This phase II trial is studying the side effects and how well paclitaxel albumin-stabilized nanoparticle formulation works in treating patients with recurrent or persistent ovarian epithelial cancer, fallopian tube cancer, or primary peritoneal cancer. Drugs used in chemotherapy, such as paclitaxel albumin-stabilized nanoparticle formulation, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing.