Three months after selling their home in Boston’s tony Back Bay neighborhood, former General Electric Co. executive Jeffrey Bornstein and his wife, Jill, have paid $4.9 million for a new condo in the up-and-coming Seaport District.

The Bornsteins purchased an eighth-floor condo in 50 Liberty, a luxury condominium tower, on March 19, according to a Suffolk County deed. The tower is part of The Fallon Co.’s Fan Pier development, which spans 21 acres and nine city blocks along the South Boston…

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