When your opponent deploys a Jedi or New Republic unit to the Character arena, tap it. That unit gets "Upkeep: Pay 1 build point or tap this unit." until your opponent deploys another Jedi or New Republic unit to the Character arena.
Keywords
Upkeep
Upkeep: [Cost]: A layered ability triggered when the build step starts that means, "When the build step starts each turn, you must pay the following cost." You must choose one of the costs that you can pay each turn, and ignore the others. You must still pay the Upkeep costs of a unit even if that unit is in the build zone, becomes the top card of a unique unit stack, or Pilots another unit. The Upkeep must be paid if you can pay it. If you can't pay any of the listed costs in full, then ignore Upkeep. If a unit has multiple Upkeep abilities, fulfilling just one of the Upkeep abilities (such as tapping the unit) does not satisfy all the Upkeep costs at once; it would only satisfy that instance of Upkeep. You may choose the order of multiple Upkeep abilities to keep an Upkeep from being paid, though a different order might pay it.