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Under Arizona law, the landlord or its legal agent the management company doesn't have any liability to you for the theft inside your apartment, unless the landlord management company participated in the theft or the employees were somehow negligent and the negligence was the cause of the loss.
A good example is if the landlord hires a maintenance worker, and the worker then left the apartment unlocked after they left, that is what we call under the law negligence, failing to lock the place up would give you a claim against the landlords/management companies insurance, for the negligent employees.
But, generally, and in most cases, an employer is not liable for crimes committed by employees because committing crimes is not within the scope of employment. So, even if a maintenance person did it (something which is far from certain given the facts you posted), the landlord is very likely not responsible for that. If the building or apartment was not properly secured by the management company/landlord and your apartment was broken into then you would still have to prove negligence, and establish what they failed to do to keep the premises secure.
So, in order to hold the management company liable you would have to have prove that they were somehow negligent, and then present the proof to their insurance company and possibly the court of the negligence, if they deny the claim.
I hope this helps.