The Philippines-born Joy, 37, shot to fame with her roles in films such as "Pirates of the Caribbean: On Stranger Tides," "Setup," and the TV movie "Venice Heat."
The Coast Guard terminated the search and rescue operation on Tuesday night, after telling reporters that it is unlikely they will find any of the missing workers alive.
NYPD Chief of Detectives Joseph Kenny said Rivera "was asked to leave the car, he was given a lawful order numerous times to step out of the vehicle, he refused."
Previously, videos circulated on social media showing the suspects' arrest, with one seen trembling on his knees and confessing to orchestrating the attack.
Russian President Vladimir Putin said on Saturday that the four attackers responsible for the "barbaric terrorist act" had been "captured and detained."