Yes, if the value of the cheated property is more than 5,000 yuan (inclusive), it is an ordinary fraud case and is under the jurisdiction of the criminal investigation department of the public security organ.

However, a situation like yours is very special. You have to have proof that there is no civil dispute between you and the liar.

If it can be proved that it is not a civil dispute, or it is obviously a general online fraud case, it is generally necessary to provide remittance receipts, communication records with the other party, basic information of the other party and other known materials. For this kind of cases, there are special provisions on filing jurisdiction. You can check the Opinions on Handling Cross-regional Criminal Cases of Mobile Gangs on the Internet, which contains provisions on jurisdiction.