https://www.fields.utoronto.ca/programs/scientific/07-08/operator_algebr...

Applications of Free Probability to von Neumann algebras

In 1990 D. Voiculescu showed that if one takes the group von Neumann algebra of the group F_n and compresses it by a projection of trace 1/k, then one obtains the group von Neumann algebra of F_m where

m - 1 2

_____ = k

n - 1

This week J. Mingo will show how this result is obtained using the techniques of free probability.