Please help.I am in confusion about my love

I have crash on a girl..I confessed my love to her and she rejected saying that she is already in love with some one else.But she continues talking to me as usual and moves closely..She even touches me sometimes.Many times I stopped talking to her for days to stay away from her,but then she took initiative and started talking to me.She always refuses to hang out with me.Never calls or text,but if I do she would respond. Once she even invited me to her house.Not able to understand this girl.Please help.

She's trying to maintain a friendship, and is trying to keep things from getting awkward.

She wants to be with the other guy without really upsetting you too much.