The jurisdiction so ceded shall be upon the express condition that the state of New York shall retain concurrent jurisdiction with the United States on and over the property and premises so conveyed, so far as that all civil and criminal process, which may issue under the laws or authority of the state of New York, may be executed thereon in the same manner as if such jurisdiction had not been ceded, except so far as such process may affect the real or personal property of the United States.
New York Legal Code