The best thing you can do is to dispute the concerned false debt with the Credit bureau and ask them to remove the same from your credit report.
You can find all your answers in 5 Steps To Take If Your Identity Is Stolen
You need to take a copy of your current credit report to your local police department and file an identity theft claim including each item that is not yours. You can then take that report and file it with the 3 major CRAs disputing each of those items and you can also send a copy of the report to each CA that holds the debt with a dispute letter. With the police report in hand they are required to remove any false reportings immediately from your CR. It would also be wise to place notices on your CRs that you were a victim of identity theft and extreme caution should be used by creditors when assigning credit in your name.