I live in a non-Muslim country. I want to rent a building I own to a bank. Is the rental thereof within the parameters of Islamic Sharī‘ah? Can I also rent out the property to a general dealer selling liquor in its premises?

One should avoid renting out one’s property to tenants who indulge in such un-Islamic practices as you have referred to. It amounts to co-operation with evil which, according to the Qur’ān (5:2), should be avoided. Only if there is no other option and circumstances are such that only such tenants can be found, should one get involved in such an arrangement.