There's a ring on my KK trainer too. Try rubbing the tire and roller down with windex every few rides. It cleans off the rubber dust, hand oil and whatever else the tire collects and helps keeps the friction up to prevent slipping and squeaking.

Watch out for a blotch of rubber dust behind the resistance unit. That means that something is slipping bad and you are wearing the tires unnecessarily fast. It doesn't sit well with significant others either.

Happy 2007!