Answer:
According to residents in the building, Jay-Z lived in an apartment in the building starting sometime in late 1997 or early 1998 (he doesn't live there now).
The building is close to the Atlantic Yards site and 1 Hanson Place condo project.
For more background, check out this great article on HoodFever.com
Click here for a larger interactive map of 560 State Street, Brooklyn NY
Panoramic View of 560 State Street
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