If an eved canaani is freed due to physical injury inflicted by his owner, does he become a full fledged Jew as he would if he were freed by his owner for another reason?
I recall from the gemara that the master must write a get shichrur for the eved after he has freed him because of the loss of a limb. I have found in gittin 38 the case of an eved who becomes free (without being freed explicitly by his master). I think that the case would also apply as I do not recall where it says so explicitly about the loss of the limb. The example given is
Rav Shaman bar Aba says in the name of Rebbi Yochanan that an Eved who escapes from prison acquires himself and goes free. Moreover, Beis Din forces his master to write for him a Get Shichrur.
If the Eved goes free as a result of his act of escaping from prison, why is it necessary for his master to give him a Get Shichrur?
The discussion shows that the get shichrur is required so that nobody can claim that he is not allowed to marry a Jewish woman. Since he is allowed to marry a Jewish woman, and the get shichrur is required as proof of that fact, then we see that the eved is a full fledged Jew.
[Talmud Yerushalmi Tractate Ketuboth 23a]. Rabban Gamaliel accidentally knocked out a tooth of his favorite servant, Tavi. He conferred with Rabbi Yehoshu'a, saying, "I think I have found a reason to free my servant, Tavi , because I knocked out one of his teeth and the Torah [Exodus 21:27] requires a master to free a servant who suffered mayhem at his hands). Rabbi Yehoshu'a reminded him that he was only required to do so by law if two competent witnesses testified against him in court. But, of course, Rabban Gamaliel could free Tavi from servitude whenever he wished. However, Tavi did not want to be released. Rabbi Yehoshu'a did not say that Rabban Gamaliel could not free Tavi, only that he did not have to.
However, the implication in that discussion (involving the get shichrur) is that Tavi would be a full fledged Jew had he actually become free.