Blue, who are the NBAGL affiliate of the Oklahoma City Thunder, get Tyler Cook in the deal which also involves draft picks.
The 6-foot-8 Edwards is averaging 11.0 points and 5.3 rebounds in 29 games this season.
Last season, the Purdue product averaged 97. Points and 5.3 rebounds in 31 games for the Rio Grande Valley Vipers, the G League affiliate of the Houston Rockets. They won the G League championship last season.
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The Charge are 21-13 and in third place in the G League Eastern Conference.
The Cavaliers are 14-40 and in last place in the NBA Eastern Conference.
The only team with a worse record is the injury-ravaged Golden State Warriors, who are 12-43.
Edwards led the GMC in scoring (22.3 points per game) and rebounding (12.8) as a senior and was named Ohio Division I Player of the Year.
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He finished his career as the Middies’ all-time leading rebounder, and only the legendary Jerry Lucas scored more points in school history.
After high school, Edwards played four seasons with the Boilermakers, scoring 1,638 points.
The son of Wright State star Bill Edwards made the All-Big Ten second team as a senior when he averaged 14.6 points, 7.4 rebounds and 2.9 assists. He shot 47.6 percent from the field and made 39.8 percent of his 3-pointers.