Repair old cracked wall spackle from foundation shifting
Obviously, this is a structural issue with the building and not something that you can correct. All you can do is make a sort-term fix which you can probably do with drywall.
 However, it sounds as if this apartment is part of a cooperative. Are you an owner in the cooperative or are you only renting? The owner(s) should be responsible for the damages in your apartment and the others. If you as an owner are responsible then you might want to work with the co-op to try to find (A) solutions to the structural issues and (B) a common approach to handling damages.
In the meantime any drywall repairs will only be topical and probably short-lived.  

Edit  

Whatever action you take should depend on what the co-op board is doing and how quickly. In the short-term, if the concrete wall has furring strips on it you could just cut out that bad section and mount a piece of drywall to the strips. Mud and tape the cracks and ten paint. YouTube can show you how to do that. If there are no furring strips, I would mount only a few with concrete tap screws and attach to that. I would not use adhesives to attach the drywall to the concrete since any additional minor shift will probably crack it again. The less contact you have between the drywall and the concrete the better the chance it won't crack - but nothing is certain in this situation.
What I would do is hang a picture or tapestry up there until the co-op board comes up with a real solution.