Divorce, property question

Hi:
I married my wife in china, just like many of you who bring a girl from china. I recently found out that she cheated me while she is taking vacation in china, she slept with a man(she has been known him for a while, a married man). She said sorry and want me to forgive her, but after 6 month, i still keep thinking about that. Whenever we argue about some thing, I couldn't be as patient as before. Divorcing kept coming into my mind. I feel like I ate a fly whenever I think about the affair.
I think I might choose divorce sooner or later. I am currently supporting her for graduate school, I bought a house, giving her the best I could do.
I don't have too much money left in bank besides the house. The question is, could she get half of the worth of the house if we divorced? I bought the house before she came to US.But we did registered marriage in china at that time.
BTW, I don't have evidence for her affair, execept a email sent by her to his lover.