 To date, an optimal dose and schedule of Trisenox has not yet been defined. This agent has been administered on daily, twice a week, and weekly doses. As there is no evidence that one regimen is clearly superior to any other, for the sake of convenience, participants on this trial will receive Trisenox on the weekly schedule. Administration of chemotherapy on a weekly schedule is commonly utilized across a broad spectrum of regimens and tumor types. On this trial, subjects will receive a dose of intravenous Trisenox 0.35 mgkg on days 1, 8, 15, and 22 over two hours. Each cycle will be 28 days in length. Subjects will receive two treatment cycles 8 weeks and then undergo objective radiographic tumor assessments. On this study, subjects may receive up to a maximum of 12 such treatment cycles. As the outlook for subjects with advanced primary liver cancer is so poor, new regimens and treatment strategies must be evaluated. 