Can people infected with Ebola transmit the virus after they have recovered and become asymptomatic?

No whatsoever... There are no reports of any people continuing to transmit Ebola after recovery & are symptomatic. The existence of Ebola in semen is based on a PCR assay detecting Ebola genetic material weeks after recovery. Though this is true, it DOES NOT MEAN THERE IS BIOLOGICALLY ACTIVE VIRUS. In fact, there is NO CASE in literature to date to ever describe transmission of the disease through semen!
Ebola. No. Once having recovered from this infection the patients are no longer carrying the virus and cannot transmit the infection to others.
Agree w/ Dr Raff. According to the World Health Organization – men who have been infected with Ebola Virus can still transmit it through semen for up to seven weeks after they have recovered from active illness. See: http://www.who.int/mediacentre/factsheets/fs103/en/
We need a consensus. Otherwise we are asking different questions. Does "recovery" mean simply resolution of acute symptoms, or does it mean complete clearance of viral load? If it means the former, then the answer would be "yes," because the WHO has cited cases of the virus present in the semen of otherwise healthy asymptomatic men. If it means the latter, the answer would obviously be "no."
No. apparently once recovered they become non-infective probably due to antibody levels.

Related Questions

Can people infected with Ebola transmit the virus after they have recovered and become asymptomatic?

Seems to be. controversial. See: http://www.pri.org/stories/2014-10-15/heres-everything-you-wish-you-didnt-need-know-about-ebola ** Per Dr Emmanuel d'Harcourt: "Ebola virus has been shown to be present in sperm up to three months after the onset of symptoms, and there has been at least one documented case of a man infecting another person three months after the onset of symptoms, through sexual contact." > Read more...