The man, known to police for a record of petty offences and psychological problems, has released two female hostages after receiving food and water this afternoon, police sources told Reuters.
"The man has made clear that he is not acting for money, but for religious reasons. He want us to make that message clear," Prosecutor Michel Valet told reporters.
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Smollett says he was attacked last month.
Mr Trump had said he would nominate the State Department spokeswoman.