No, lithium ion chemistry doesn't trickle charge. It will charge to 100% charge and stop.
Lithium battery is best stored about half discharged. The life is decreased when stored fully charged. Severely decreased when fully charged and stored at high temperature (inside the car).
I wish there was a switch to let you isolate the battery so that you can leave it about half full and disconnect it to prevent the charger from topping off to full every time you use it and ruin the battery. The lithium battery inside the GPS lives a very hard life usually living in the car at full charge at high temperature.
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