Ownership of rental and primary residence in different states

We have two properties with both of us on the title.  One property in CA we turned into a rental recently after moving to another state.  And a primary residence in NC.  My spouse is suggesting I claim 100% ownership of the rental property and they claim 100% ownership of the primary residence for tax purposes.  I manage the rental and would claim the full income and expense.

 

Is this OK for tax purposes?  I certainly can consult a tax attorney if that would help, and I think it would.  Just wondering what others have done in this situation.