Rudolph W. Giuliani’s baseless claims that two poll workers in Georgia helped to steal the 2020 election have cost him millions of dollars in assets, including his longtime Manhattan apartment.

Now, a trial in federal court that begins on Thursday will determine if Mr. Giuliani is left with any home at all.

Judge Lewis J. Liman of U.S. District Court in Manhattan is expected to rule on whether Mr. Giuliani must surrender his Palm Beach, Fla., condo, which he claims is his primary and only remaining residence, to pay down a multimillion-dollar judgment. The apartment was valued at $3.5 million.

The trial will also decide if Mr. Giuliani can keep three personalized World Series Yankees rings that were commissioned for him during his time as mayor of New York. Mr. Giuliani and his son, Andrew, are expected to take the stand.

The case stems from a 2021 defamation suit in which a jury awarded two Georgia election workers, Ruby Freeman and her daughter, Shaye Moss, $148 million for damage to their reputations, after Mr. Giuliani claimed, repeatedly and without evidence, that they manipulated ballots. The women said they faced death threats and had to go into hiding.

In October, Judge Liman ordered Mr. Giuliani to hand over most of his personal possessions — about $11 million worth of property, including a Manhattan apartment, a 1980 Mercedes-Benz convertible and a collection of rare Yankees memorabilia — to start paying down the judgment. After more than two months and several missed deadlines, many of the items have yet to be delivered.