How will things change with the GDPR after Brexit?

The primary change, resulting from Brexit would be that the UK will no longer be a member state of the EU. And prior to Brexit, the UK was a member state of the EU along with all of the other 27 member states of the EU, and after Brexit it no longer will be part of the EU. Therefore, if the business is located in the UK, prior to Brexit, it will be located in the EU and will not need to appoint a representative. But if the business is located in the UK after Brexit and continues to hold data or do business with data subjects or people who are located in the EU, it will then be required to appoint a representative in the EU, the same as any other third country outside of the EU will be required to do so.