Wiggins' put-back lay-in as time was running out lifted the Jayhawks (20-6, 11-2 Big 12) to a fourth victory in five games.
Joel Embiid contributed 18 points and nine rebounds for Kansas.
The Red Raiders (13-13, 5-8) were led by Jordan Tolbert with 16 points.
Dejan Kravic added 13.
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