Is it permissible to sell a building to one's brother with an agreement to share the monthly bank installment, and then for him to re-deed it to the seller after taking possession of it?

This transaction is impermissible, as it is a deceptive murabaha intended to obtain financing, but its reality is a forbidden trick to circumvent usury (riba), for its outcome is a loan with interest. The building (or property) is not the actual intent; what is intended is to acquire cash, and this involves deception of the bank.