LONDON—The dollar hovered above a one-week low versus major peers on Friday, taking a breather after its biggest drop in almost a month overnight, as questions lingered about the fate of property developer China Evergrande Group. The yen fell to its weakest since mid-August as Treasury yields pushed to the highest since the start of July. The dollar index, which measures the greenback against a basket of six rivals, rose 0.08 percent to 93.175 after sliding 0.36 percent on Thursday and touching the lowest since Sept. 17 at 92.977. That erased gains for the week, and set the index up for a 0.09 percent decline. The safe-haven dollar was hurt after Beijing injected new cash into the financial system on Thursday, when Evergrande announced it would make interest payments on an onshore bond. However, some holders of its offshore bonds said they had not received coupon payments by a Thursday …