Don't ignore; just DETACH (ignoring is passive-aggressive).
Better to say "Sorry, just saw this -- been super busy today! We'll catch up later" ... things like that.
It's okay too to say something like "Look, no offense, but I just don't think (say, spending time together hanging out or something) that's such a good idea right now, considering where our marriage is at. Look, I gotta run ...."
I tell men "Don't be an ass; there's a difference between being a nice guy, and being a Niceguy." But it's the same for women. Be kind and courteous, yes -- but DETACH and limit your contact.