What would cause a power inverter to turn on by itself?

I have a Cobra cpi 2575 power inverter installed under the dash in a chevy truck. Sometimes when i open the door, the cooling fans on the inverter turn on by themselves but the digital display is not lit up. Also, one time i opened the door and the inverter was powered up just as if i had pushed the power button and turned it on, though i had not done so. I'm unsure of what may be causing this but my first thought was that it had something to do with the door jamb switch for the interior lights. The case ground for the inverter is grounded somewhat close to the switch. I'm not sure but i believe this may be causing it since the inverter has a simple momentary power button rather than an actual sliding or rocker switch. Any information about this would be very much appreciated.