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The former deputy chairman of the Conservative Party was expelled from the party for five years after the scandal broke.
After being questioned, he was given police bail to return in June.
The location of the police station was not revealed and Lord Archer later went back home to his London flat.
A spokesman for Conservative Central Office said: "Lord Archer is not a member of the Conservative Party and has got nothing to do with us."
Dinner-date lie
The millionaire novelist has admitted asking a friend, Ted Francis, to prepare a false alibi for him by saying he had met him for dinner on a night when a newspaper had accused the peer of visiting a prostitute.
He later said he was actually dining with a "close female friend", Andrina
Colquhoun, whom he wanted to shield from publicity.
The evidence was never needed as The Daily Star changed the date it claimed the liaison had taken place and the Tory politician won £500,000 in damages from the newspaper.
Mr Francis said he felt obliged to speak out for moral reasons and the Star demanded £3m back.
Lord Archer admitted he had been a "fool" for asking a friend to lie for him and to feeling despair over having to stand down from the mayoral race.
Scotland Yard detectives had been expected to investigate whether he committed perjury or conspired to pervert the course of justice at the 1987 libel trial.
Daily Star 'watching'
Daily Star editor Peter Hill said: "Whether Lord Archer is charged or not the Daily Star will pursue its own case for the return of the money we paid him."
In a statement the paper's owners added: "We are obviously watching
developments with great interest, but we cannot comment on the police case
because we do not want to prejudice any possible criminal proceedings.
"We have co-operated fully with the police in their investigation of our
complaint and we shall continue to do so."
The paper asked police to investigate whether Lord Archer had committed a criminal offence by asking Mr Francis to provide false evidence.
The newspaper said it had written to Lord Archer requesting that he repay the damages, plus costs and interest, but that he had denied liability.
The paper's lawyers are still investigating.