You could say that Wave is a bit like Email, Basecamp, Campfire, Etherpad, and a bunch of other collaboration tools, all merged into one unified interface. I'd be scared if I was 37-Signals. From everything I've heard, the feature Basecamp users most like is the discussion system... with Wave, that becomes a lot less worth paying for.
Google Wave is, IMHO, a godsend to corporate IT staff. It's a single application that solves several, very real office collaboration problems. Moreover, you can (or soon will) deploy it in-house, so you don't have to worry about a third-party hosted solution.
As far as I'm concerned, Google Wave solves all the problems of "intranets" and with a few robots and extensions makes a pretty decent project management tool too.
Why would you use wave over a forum/google group etc?