Initially, 14 patients of each of the 5 histologic subtypes of liposarcoma will be accrued. If 1 or more patients show evidence of biological response, an additional 16 patients of each subtype will be accrued for a total of 30 patients per subtype. If 4 or more of 30 patients achieve biological response then troglitazone will be deemed promising in that histologic subtype.