N.Y. Workers' Comp. Law § 58
An employer under the workmen's compensation law, or the insurance carrier under the policy of workmen's compensation insurance covering such employer, or any other person or organization including the state, a municipal corporation or other political subdivision of the state which provides housekeeping, or nursing services to an injured employee or recipient of social services assistance or which arranges for such services by authorizing the hiring of an employee for such purposes and which supplies funds for the payment of such employee's wages, notwithstanding any general or special statute requiring or authorizing such housekeeping or nursing services, shall be liable for the payment of compensation to the person performing such housekeeping or nursing services as provided by this chapter. Nothing in this section shall create an employer-employee relationship when such relationship does not otherwise exist.
N.Y. Work. Comp. Law § 58