This is the first time I've invested in a fund such as this, so I apologize if this is a stupid question - as the current investments have been made via semi-anonymous "user IDs" on BTCT, how will you know how to tie an investment to the same person on a new exchange?
It's a good question. The exchange emails all issuers with a list of current participants in their assets. A new exchange would provide some means of importing that list, such that old numbers would match up with new ones.
Although I've just said in an earlier note that I have no intention to suspend trading in the fund, in the case of a transfer to a new exchange, we would announce a
planned suspension of trading -- and
not a surprise one coming out of the blue "for your own good" -- so that we could secure a current participant list. With that list in hand, we could then begin a move to a different exchange.
EDIT: Whoops, I should have paid more attention to that notice saying the thread had been updated while I was typing, as it looks like Rannasha has already done a good job of covering this.