The police can take a statement about an alleged crime even if it is not in their jurisdiction and turn it over to other law enforcement. There may be credibility issues but that could be later exposed in cross examination if someone was charged and there was a trial.
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It appears unclear what your question is. The only thing that I can gather is that the university police did not have jurisdiction over the apartment. However, the University Police did not search the apartment or take interviews there-so I see no issue. If your question relates to something else please clarify.
There is nothing that you wrote that is objectively improper. As one of the first two replies already stated, the police who lacked jurisdiction, with regard to the apartment, merely took a statement. Please clarify your question.