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If I use the name of a movie for a business name, can I do so without legal repercussions? And, if so, should I be using quotation marks?
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If the film was american you can probably find out if it's 'trademarked' at the following link.

http://www.uspto.gov/main/trademarks.htm

Then you should check if the business is available in your country, with the relevant authorities.

Hope this is useful
Comments  
You might want to ask this question to a lawyer; I for one have no idea.
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 david lyon's reply was promoted to an answer.
Thanks David, very useful!