Paranoia Play-by-Post GMing Techniques

I am planning on running a play-by-post (pbp) Paranoia Troubleshooters game. Due to the nature of a pbp, its possible that the dramatic tension of a properly run Paranoia game will be lost.

What are ways to increase tension, inter-party distrust, and character information leakage (i.e. players trying to sneak a peak at the "secret" side of the character sheet, or trying to look at other player’s notes to the gm) while retaining the asynchronous aspects of a pbp?