There are many components to unemployment benefits eligibility - the way you separated from your prior employer is but one consideration.
In order to be eligible, you must be unemployed through no fault of your own. In this case, the unemployment office may decide that your arrest means you have some fault.
The unemployment office will typically schedule a phone conference with an applicant who was fired, to assess the situation. If you are denied benefits, you will be given the opportunity to appeal the denial.