Clare Bronfman, an heiress to the Seagram’s liquor fortune, pleaded not guilty on Tuesday in federal court in Brooklyn after her arrest on conspiracy and racketeering charges in connection with her role at Nxivm, a self-help group that prosecutors call a pyramid scheme and former members say is a cult.

Ms. Bronfman was released on a $100 million bond — roughly half of her net worth, according to her lawyer, Susan Necheles — and, after a sometimes contentious hourlong bail hearing, was ordered placed under house arrest by United States District Judge Nicholas G. Garaufis. Ms. Bronfman will have to wear an ankle monitor at her New York apartment under the terms of her release and must return to court on Friday with assets totaling $50 million to put up as security for her bail.

Ms. Bronfman was one of four people arrested in New York State on Tuesday after the unsealing of an updated seven-count indictment against Keith Raniere, leader of the now defunct-group, and five others in his “inner circle,” federal prosecutors said in the indictment.

Mr. Raniere, 57, was arrested earlier this year in Mexico and brought to New York to face federal sex-trafficking charges. Prosecutors said he and one of his followers, Allison Mack, 35, an actress known for her work in “Smallville,” coerced female members to have unwanted sex with him and branded them with a symbol containing his initials. Mr. Raniere is being held without bail in Brooklyn to await trial.