A Capital One spokeswoman said the company "believes it has acted properly and in full compliance with the law," and is co-operating with the attorney general to resolve the matter.
According to the complaint, cardholders who receive an initial 4.99 percent interest rate and later default may see their rate skyrocket to 19.8 percent, even though Capital One advertised that the lower rate was "fixed."
The lawsuit said Capital One's marketing violates state laws against false advertising, consumer fraud and deceptive trade practices. Minnesota is seeking restitution for cardholders, civil penalties, disgorgement of profits, and an injunction barring further wrongdoing. Capital One is based in McLean, Virginia.