Monica

Another book which has this as a plot point is Lawrence Watt-Evan's Realms of Light. It's set in a Cyberpunk-ish future where it's possible to upload people, and while it's mostly not legal, there are some places where people do it anyhow, and... well, I don't want to give away too many spoilers. (It's a sequal to another book of his, Nightside City, but it's entirely possible to read it first. At least, I did...)