Adams was arrested on Saturday and charged with criminally negligent homicide.
The 43-year-old played the character Zahir Arif in more than 20 episodes of the critically acclaimed show, which ran from 1997-2003.
He had been working as a manager at the upscale nightclub Bed.
Police were called to the nightclub in New York City's Chelsea neighborhood early on Saturday and found 35-year-old Orlando Valle, who had allegedly fallen down an elevator shaft after a scuffle at the nightclub. Valle later died after being taken to the hospital.
According to local media reports, Valle struggled with Adams after a friend of Valle's had an argument with the club's coat checker.
Valle fell against a set of elevator doors that gave way and plunged several stories, landing on top of the elevator shaft.
COPYRIGHT 2007 WORLD ENTERTAINMENT NEWS NETWORK LTD. All Global Rights Reserved.