A New York judge has rejected Ivanka Trump’s argument that she should not have to testify at her father Donald Trump’s fraud trial.

Ivanka Trump’s lawyers – she has hired a separate legal team from her father – showed up to court on Friday to argue against a subpoena to testify from the New York attorney general Letitia James’s office, which brought the $250m fraud case against the former president, his eldest sons and other Trump executives.

“At the end of the day, your honor, they just don’t have jurisdiction over her,” Ivanka Trump’s attorney, Bennet Moskowitz, told the judge. Her lawyers argued that Trump no longer lives in New York and stepped down from her role at the Trump Organization in 2017.

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The judge, Arthur Engoron, told the court that he rejected her arguments, saying that she “clearly availed herself of the privilege of doing business in New York”, he said, citing documents that show Trump still has property and business ties in New York.