The benchmark Shanghai Composite Index edged down 0.14 percent, or 4.75 points, to 3,382.56, but the Shenzhen Composite Index, which tracks stocks on China's second exchange, edged up 0.02 percent, or 0.46 points, to 2,014.86.
The Hang Seng Index in Hong Kong fell 0.79 percent, or 179.90 points, to close at 22,640.04.
