if 2 friends own property, and one moves out, not selling there potio, i.e. title on home stil 50/50,do they loose any property rights?

I own a home with a friend. We are 50/50,both names on the title of the home. Circumstances will have it that one of us is going to have to leave. But, neither of us is planning on selling the home. the person who stays in the home will pay the full mortgage every month. While the person who moves out will split the property taxes and any major maintenance on the home. My question is, does the person who leaves the loc forfiet any rights to the property?