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Is there a court order regarding the house? typically the divorce decree will address that.
If the damage was caused by the ex, then he would be responsible for damages;
There are a couple of options; one is to quitclaim the property to the resident so as to avoid liability. For an explanation see here: http://www.jacksongov.org/content/3310/3356/3552/3554.aspx
The other is to contact Adult Protective Services; if the house is uninhabitable, they can take the necessary action - ie getting a guardianship/conservatorship for the individual if he is unable to properly care for himself (or admission to a nursing home) and to contact the local authorities to get the house deemed as unsafe.
Would you like a copy of a sample quit claim deed?