If others are potentially going to use it, you'd have to stick it down properly, not just tape the edges. If someone does themselves a mischief on there because the floor moved, it could open up your mate to all kinds of problems. Would depend greatly on how thick/heavy the stuff is though. If it's just like carpet then it may need something heavy duty, if it's thick rubber based and has a lot of weight then it may be fine.
That link says carpet tape for more permanent applications, so possibly look in to that?