Spencer Muise already mentioned that they could be invisible to our visible spectrum, but could be still visible as a source of heat or otheranother kind of radiation (maybe the process of becoming invisible itself leaves some kind of electromagnetic signature).
Another thing that would work areis, quite simply, pressure plates. Invisibility can't hide the fact that people have a weight, so, covering the floor of some sensible building (e.g. a bank, or a jewelry store) with pressure plates, or other weight-detecting technolgytechnology, would serve as an alarm against robbery. This could be quite expensive and require some major restructure on some buildings, but it would probably be a good option.
If you think about it, a lot of conventional measures of security would still work. If you have a bank with a safe that opens only at certain hours (to allow employees to make deposits) you could try to enforce some kind of policy to prevent invisible people from getting in and out. After all, locked doors still work well against invisible robbers. Each sensible building could have "private quarters" where only allowed people, based on facial recognition, can enter, along with a mantrap ( Mantrap ): a door that doesn't let more than one person in at a time. An invisible robber could still try to sneak behind a regular employee, but would risk the door closing on himself (pain and detection involved).
Also, I suppose invisible people still emit and produce sounds, so that's another range of sensor that could be used at their disadvantage. Moreover, even in the case that their body heat cannot be detected, they still need to breathe. AirThe air in aan empty room is usually colder than air with a person breathing it - inon certain occasions and/or weather conditions, this could serve as an alarm.
You noticed I've only talked about robbery thus far, because robbery - at least if we are talking about "big, stylish robberies" are actually easier to avoid than petty crimes or murder. As Ash pointed out, you can't "prevent" crime, you can either dissuade it and prosecute it. An invisible assailant could rob whatever he pleases in an open street, taking it by force by the hand of unsuspecting strangers. Still, in a world where invisible criminals are a thing, the other 97%98% of the people would probably like to have stronger security measures - or maybe they would stop carrying wallets, at least.
I'd have other ideas, but I'll leave you those two cents.