On my '04 RX 330, the A/C shuts down (compressor not engaged) after the engine get above normal operating temp. Recharged it, full service, fans running, new cabin filter and initially it's very cold. When engine sits at idle for very long, engine temp goes to just below red mark before fans go to high speed. This also happens with A/C selected off. Engine will also cool off quickly with rpm increased and car moving. Is there a connection between the engine heat and the A/C shutting down? Since I recently bought the car with no history, and it's got just over 100k, I'm wondering if the timing belt is slipping on the water pump and at higher rpm there's enough friction on the shaft to make it work more efficiently.