If you have a U.S.?
The concept of citizenship in most countries is that you cannot be refused entry into your native land. You must, however be able to prove your citizenship. If you committed an offence in the USA, and made it to the border, you would be able to return Canada. If the Americans wanted you, they would have to apply for extradition. (They could also wait until you tried to re enter the USA then arrest you at the border or refuse you entry on trying to fly from a major Canadian airport)