Company Demands Murdered Man's Rent

Here is the full story: Company Demands Murdered Man's Rent

This is an interesting story. On the one hand, you have a man who is dead, and obviously unable to pay his rent. On the other hand, you have a lease that has been broken. Where does the law come down on this sort of thing? Does the landlord have a right to that money, regardless of whether the man is dead or alive?