Registering a property on another person's name for tax reasons

My father has purchased a property and is registering it on my name for his own tax reasons. I have to sign legal documents, etc. confirming my ‘ownership’ of this property. However, I will not be the actual owner of the property. I asked my father who really owns the property so that I would know for my own zakaat purposes and inheritance reasons. He replied that he owns the property (and he is thus the one paying zakaat on the rental income).

(1) Despite the property being in my name formally, who truly owns the property in Shari’ah?

(2) Who is responsible for paying zakaat on the rental income?