Included in her construction is 24 tons of steel salvaged from the WTC after September 11th.
Wikipedia wrote:USS New York (LPD-21), a San Antonio-class amphibious transport dock, is the fifth ship of the United States Navy to be named for the state of New York. The ship is designed to deliver a fully-equipped battalion of 699 Marines.
Shortly after 11 September 2001, Governor of New York George E. Pataki wrote a letter to Secretary of the Navy Gordon England requesting that the Navy bestow the name USS New York on a surface warship involved in the War on Terror in honor of September 11's victims. In his letter, the Governor said he understood state names are currently reserved for submarines, but asked for special consideration so the name could be given to a surface ship. The request was approved 28 August 2002.
Oddly enough, a previous holder of the name, USS New York (BB-34), had its keel laid on September 11, 1911, exactly 90 years to the day before the WTC was attacked.
Twenty-four tons of the steel used in its construction came from the rubble of the World Trade Center, with seven tons melted down and cast to form the ship's "stem bar" — part of the ship's bow. The shipyard workers reportedly treated it with "reverence usually accorded to religious relics",gently touching it as they walked by.
On 9 September 2004, the Secretary of the Navy announced that two of her sister ships will be named Arlington and Somerset, in commemoration of the places two of the other planes used in the attack came down: Somerset, Pennsylvania and Arlington, Virginia.
The contract to build New York was awarded to Northrop Grumman Ship Systems of New Orleans, Louisiana in 2003.
The ship also survived Hurricane Katrina.