The matter in dispute is the ownership of the house.

眼下的纠纷是这所房子的所有权问题。

《新英汉大辞典》

The matter in dispute over trifles is the ownership of the house.

眼下扯皮的事是这所房子该归谁。

《新英汉大辞典》

Need to settle a lawsuit over the ownership of your house?

要搞定你房屋的所有权官司？

youdao

For example, a lender can take ownership of a house via foreclosure.

FORBES: John Mauldin And The Zen Of Deleveraging

Last summer, less than four months before the sexual abuse charges against Sandusky became public, Paterno transferred ownership of his house to a trust that would benefit his wife.

FORBES: Joe Paterno's Family Gives Up Trying To Keep His Will Secret

Clear ownership of in-house operational tasks versus those assumed by the service provider.

FORBES: Why Risk In The Cloud Is Good For The Economy