MegabitOne is on the correct track however I think he may have gotten confused about how you can achieve this.
Towers are (at least as far as I'm aware) a Corp structure. Therefore your corporation needs to anchor the tower.
This can be achieved, there are people in the services area of eveonline forums that have high global standings, it isn't cheap, but he will join your corporation so you can obtain his standings boost.
As Darina says, your corp faction standings is the aggregate of your members standings, therefore, all members but the CEO leave the corp, the patsy character joins.
Your aggregate corp standings adjust over time, please see the comments below. You can then anchor the tower, once the tower is anchored, the patsy leaves and everyone rejoins...
Do bare in mind you will have to fuel it etc, and if it ever goes down you are back to square one.
Also you will find it difficult in terms of LP for the charters you will need for fuel, so you will have to buy them off the market also.
If I get the chance when I get home I will try to find an example forum post (unless someone could be kind enough to post it for me ) :)