Qual questions

I'm not sure if this was all of them; it's just what I found written down on a piece of paper, years later. :-)

How many star structures are there on holomorphic functions on a disc?
Give an example of a fibration, and explain what a fibration is.
List the Dynkin diagrams of simple Lie algebras. Can you calculate the dimensions of the fundamental representations?
Draw the root system of G_2, and explain how to use the Weyl character formula.
Define the coupling constant. Can you find a module of dimension \pi? 1/2?
Can you exhibit a projection of trace 1/2 in a II_1 factor?
Describe a II_1 subfactor with infinite index.