It is Wajib (obligatory) on a husband to treat his wives as fairly as possible. As for the things he cannot divide among them equally, he does not have to be fair in them. Giving a house to only one wife and not the other is a controllable decision, so it is impermissible to do. There is no Shar`y (Islamically lawful) reason mentioned in the question to justify this. The original ruling concerning this is the saying of the Prophet (peace be upon him),
O, Allah! This is my division concerning what I possess, so do not blame me concerning what You possess and I do not.
Narrated by the Five Compilers of Hadith, except Imam
May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.