Can I sue an apartment building owner for negligent security for a rape that occurred?

He may be able to do that. When I say may, if the property owner had noticed that there were such type of criminal activity in and around that apartment complex or apartment building and that by providing security they could have prevented that rape, then you may successfully bring a claim against them. They key is notice. If the property owner was on notice that these types of activities were going on, then they would have a duty to act. My law firm looks at these kinds of cases and advises people about their rights and their responsibilities as well as their rights to recover.