What are the risks involved in kidney donations?

Overall none. There can be some post operative complications sometimes, though not concerning and are related to surgery itself. Over all survival is same in the long term with some increase in bp, more often in black patients. Black and hispanic patients can develop more chronic kidney disease.
Varies. In the U.S., ~6, 000 living donor surgeries are performed yearly. In most cases, the donor surgery is safe and the donors get discharged home after 48 hours. However, it is a surgery that requires general anesthesia and the mortality rate associated with the surgery is approximately 0.02-0.03%. An informed decision needs to be made after a thorough donor evaluation when a donor several RFs.

Related Questions

What are the risks involved with kidney donation?

Surgical. There are rises from the surgery. Hernia, bowel obstruction, infection, anesthesia problems, blood clots, bleeding, and very rarely death. There is also potential risks (in the future) of kidney disease in your remaining kidney.
Depends. I assume you are asking about living kidney donation. The donor surgery is done under general anesthesia and the mortality rate associated with the surgery is 0.02-0.03%. So even though it is a very low probability, there have been deaths associated with living donor surgery on very rare occasions. As with any other surgery, bleeding, infection, and blood clots in legs (DVT) can occur.