Russell Brand to Katy Perry You Can Have the House

Russell Brand is one step closer to severing all ties with Katy Perry
Russell Brand
is one step closer to severing all ties with Katy Perry -- because he's surrendered his interest in the house they bought together while they were happily married -- if they were ever really happily married.

TMZ got hold of a quitclaim deed that Russell filed in L.A. ... giving Katy all rights to the $6.5 million house -- lock, stock and barrel.   

Sources tell us ... it's all part of the property settlement agreement between Russell and Katy. 

0402-katy-perry-splashIt's further proof of what Russell said -- that he doesn't want a penny of Katy's money and wants the split to go as amicably as possible ... so far, so good.