No immunity from other criminal prosecution while in this state

N.Y. Criminal Procedure Law § 570.60, under Securing Attendance of Defendants Who Are Outside the State But Within the United States--rendition to Other Jurisdictions of Defendants Within the State--uniform Criminal Extradition Act.

N.Y. Criminal Procedure Law § 570.60

§ 570.60 No immunity from other criminal prosecution while in this\n state.\n After a person has been brought back to this state by extradition\nproceedings, he may be tried in this state for other offenses which he\nmay be charged with having committed here as well as that specified in\nthe requisition for his extradition.\n