Six years ago Andrew — who is known as the Earl of Inverness in Scotland — set up a number of firms using the pseudonym. One particular business was with Naples Gold Limited in relation to Sports retail Tycoon Johan Eliasch in 2002.
Republic also accused the King’s brother of listing a London residential address at which they claimed he never resided.
Mr Smith said: “We expect the police to pursue this matter without fear or favour, something they seem to struggle with when it comes to the royals.”
He added: “The apparent filing of false information with Companies House may seem trivial but the UK faces serious issues of fraud committed in this way.
“As it is an offence under the Companies Act to file false information there must surely be a public interest in pursuing the matter when it’s such a high-profile figure allegedly doing it.”
“While no such fraud is alleged here, surely Andrew must be held to the highest standards.”
“The royals appear to believe they can act with impunity, an impression given weight by the lack of police action on serious allegations of corruption and sexual offences.”
Late last year, the Prince came under scrutiny over his friendship with an alleged Chinese spy.
Yang Tengbo, a founder-partner of the Chinese arm of Andrew’s Pitch Palace initiative who had visited several Royal residences at the invitation of Andrew, was barred from entering the UK on national security grounds.
He has denied being involved in espionage.
Andrew was given the titles Duke of York, Earl of Inverness, and Baron Killyleagh by his mother Queen Elizabeth II on his wedding day in 1986.
Naples Gold, a private limited company was dissolved in March 202l.
Both the Duke and Johan Eliasch joined as directors after it was incorporated in 2002. The duke’s representatives have been approached for comment.
A Met Police spokesperson said: “This report will now be assessed to determine whether any further action is required. There is no investigation at this early stage.”