I think the abbreviation "aka" or "a.k.a." is important enough to warrant inclusion in APA Style. Now that the archives of psychological literature are becoming easier and easier to search and browse, I think it is important for authors to mention alternative terms or phrases for a particular concept they are writing about, given that multiple terms or phrases may be used across sub-fields (aka sub-disciplines) and/or across time. The "aka" abbreviation is an efficient parenthetical tool for doing just that. But there appears to be no obvious standard on whether to use "aka" or "a.k.a.". APA Style specifies standard usage of similar tools (e.g., "i.e.", etc.), so it would be very helpful to have this one specified as well.
[I have just submitted the above comment to the American Psychological Association via
this link. If you also think this is a worthwhile cause, please feel free to send them a comment yourself.]
And for the record, I am aware that I do not follow the standard of placing trailing punctuation WITHIN quotation marks above. I think that the standard is silly at best and misleading at worst. It is my opinion that only information that is part of the quotation should appear within the quotation marks, and that subsequent punctuation should be handled just as it is for parenthetical material within a sentence (i.e., placed after the closing parenthesis).