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There is confusion regarding this synagogue. It could have been that the "Freedmen" were released Roman slaves, who having embraced Judaism had their synagogue at Jerusalem. There is also a possibility that they were "Libertines" which would mean that the synagogue was built for Jews dwelling in Libertum (A Jewish community in Africa). It is also a possibility that they were Jews living in Rome who had been made slaves by the Romans under Pompey but afterward were set free, and had built a synagogue at Jerusalem.
Also see: The Second Temple Model