In New Jersey anyway - it seems its' not illegal. No preceding cases have already been decided declaring it's illegal. Meaning essentially yes - someone can set up an account that appears to be you, or the group you founded, and run that account and your reputation right.
I've talked about how the "real Kamylla" told me she was not posting those statements online bashing me. I have text messages where she says she (1) does not have a computer, (2) she does not have internet connection, and (3) she was also sick at the time - all meaning that all of those attacks supposedly out of her towards me and SWA were in fact not her. She said she signed a confidentiality agreement with Relativity Media, and an agreement authorizing Domina Elle to post "as her" online. Giving her consent to use her name and likeness online any way these people wanted.
It's actually quite common practice to do this sort of thing when it comes to marketing by some corporations. Catch what Xbox people got caught doing -