First, his lying on the mortgage papers will not eliminate your rights to the house. So long as it was acquired during your marriage, it is community property, you have 50% rights on it. However since the loan is in his sole name, you are not responsible for it. So you can ask that he buy your share of the equity or ask the court to sell it to collect half of the equity on the property. Whether this will help you in the divorce would depend on whether the house has any equity, whether it can be sold for more than what you paid for it. You would have to check with local market conditions to see if you live in a "hot area", if there is equity then it would help you in the divorce.
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