[SunTzuWu]

Soooo. . .they are empowered with the same authority as state officers and enforce state and university laws.

On campus. No where else.

[FateAmenableToChange]

On campus. No where else.

No. Depends on the jurisdiction, with many states authorizing state wide authority for campus police that is identical with municipal and state police.

[Hulka]

Not exactly. In my state they are certified state law enforcement officers, certified by the state and empowered with state LE powers. They may be assigned/work for a university but their authority does not stop at the edge of university property.