New York Consolidated Laws, Uniform City Court Act - UCT § 206. Arbitration

(a) Threshold questions under article seventy-five of the civil practice law and rules.  If an action of which the court has jurisdiction has been duly commenced therein, and there arise in such action any questions relating to the arbitrability of the controversy, the court shall have jurisdiction completely to dispose of such questions and article seventy-five of the civil practice law and rules shall be applicable thereto.  But the court shall not have jurisdiction of the special proceeding, as set forth in subdivision (a) of section seventy-five hundred two of the civil practice law and rules, used to bring before a court the first application arising out of an arbitrable controversy, except as provided in subdivision (b) of this section.

(b) Proceedings on award under article seventy-five of the civil practice law and rules.  Where a controversy has been duly arbitrated and an award made therein is for relief which is within the court's jurisdiction, the court shall have jurisdiction of proceedings under sections seventy-five hundred ten through seventy-five hundred fourteen of the civil practice law and rules, relating to judicial recognition of such awards, which provisions shall be applicable thereto.

(c) Arbitration distinct from article seventy-five of the civil practice law and rules.  The rules may provide systems of arbitration and conciliation of claims within the court's jurisdiction without reference to article seventy-five of the civil practice law and rules.