Income tax rebate home loan

My father has purchased a property (Flat) in which he, myself and my wife are co-borrowers in the home loan from a bank(SBI)

I want to know, for  Income Tax rebate, is it necessary that   house should be registered in the name of all three(Father, Myself, and My wife) ?.

If the Flat  is registered in the name of my father only, can we(Myself and My wife) still claim rebate in the income tax .

To summarize, I want to know whether the Co-borrower in the home loan should also be the Co-owner of the property  to claim the income tax  benefit.