If you were not fired "for cause" but were terminated for some other reason (such as the company wants to save money), you should be legally eligible for unemployment. You should appeal the denial of unemployment benefits, using the evidence you describe to show the unemployment insurance appeals board that the claimed reason for your termination is false or pretextual. If you demonstrate that you did not commit the claimed theft, you should be able to receive unemployment. You can find information about  how appeal from going to the unemployment website or contacting them via phone.