ChapelHillSean wrote
Duke Research building (named Durham Center on Wikipedia?)
I used to work there! The building is currently rented out almost entirely by Duke Clinical Research Institute (DCRI), and they have the "signage rights" to the building, but Wikipedia is correct that the name of the building itself is still technically "City Centre", although most people I've known call it something similar to you, like "the Duke research building".
I know DCRI was/is planning to occupy a large part of some building that was/is being built nearby, I think maybe in the Durham Innovation District (DID / Durham.ID, or whatever they are calling it)?