Based upon the colors, for a K75RT, the only circuit I found with violet/white identification is for the choke lamp, from the inst cluster to the 2-pin connector of the switch.
Not to be flip here, but what doesn't work? That would give you a clue.
It looks more like violet(purple?)/yellow in person. . . .
Do you have a wiring diagram? Here is another possibility.Put the year of your moto's manufacture in the Bikes: line of your Profile.
Extra fan? OE fan upgraded?