Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture, Lecture Two

Sam Harris, Department of Pure Mathematics, University of Waterloo

"Hyperlinear Groups"

Today we look at the class of hyperlinear groups.  We will show that every sofic group is hyperlinear, and we will summarize some of the closure properties of sofic/hyperlinear groups.  If time allows, we will look at how sofic groups can address a weaker form of Connes' embedding problem.

MC 5403