Is it permissible to take money in exchange for using one's name to purchase a property that cannot be owned except by fulfilling certain conditions, knowing that the original buyer paid his own money?

If purchasing the property is a right granted to you by the competent authority, and they have permitted its assignment, then there is no objection to assigning it for money; because it is a right that can be exchanged. This is supported by the permissibility of assigning jobs for money, a woman selling her turn to her co-wife, and purchasing the relinquishment of an obligatory right in exchange for something.