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I am not sure whether your passion for integrity and honesty or any other personal reasons prompt this query when the employee is no more in your service. Alternatively, the incidence also indicates how poor your management was in the matters of scrutiny of documents submitted by a new employee and his/her back ground verification. So, in my opinion, it is better to leave the matter as it is and tighten up scrutiny of documents relating to appointment and back ground verification process in future. If you get any enquiry from the person's new employer, better to limit your remarks to the period of your employment only.