In your case, the publication could be considered two things, either the whole book or the index, if you consider the index something akin to a chapter.
No author is given for your index. Often the index is compiled by some helper of the editor (e.g. a student assistant) or some employee in the publishing house. We cannot assume that it was created by the translator (unless you have a source that verifies this). So if you want to cite the index in the way you would cite a chapter, you would have to cite it as an anonymous work, e.g. something like this (in the bibliography):
"Index." In O City of Byzantium, Annals of Niketas Choniatēs, translated by Harry J. Magoulias, 422-441. Detroit: Wayne State University Press, 1984.
and, in a footnote:
- "Index", pp. 425, 433.
But usually an index is not considered a chapter but a part of the back matter of a book. So it would probably make more sense to cite the book, e.g. in the bibliography:
O City of Byzantium, Annals of Niketas Choniatēs. Translated by Harry J. Magoulias. Detroit: Wayne State University Press, 1984.
and in a footnote:
- O City of Byzantium, pp. 425, 433.