N.Y.C. Admin. Code § 11-342: § 11-342 Foreclosed tax lien not arrears.

Any party to an action to foreclose a tax lien or any purchaser or any party in interest may give notice of such foreclosure to the city collector and after such notice the items which constituted the tax lien thus foreclosed shall not be entered by the city collector in any yearly assessment-roll, so long as the judgment of foreclosure of such lien remains in force.