Sam Kim, Carleton University
“Ultraproduct techniques for tracial von Neumann algebras”
Ultraproducts are a nice way of dealing with asymptotics of algebraic strctures. In this talk I will define ultrafilters and provide techniques for working with ultraproducts of algebraic objects with analytic structure. In particular, this technique will be used to model and give ways of analyzing II1 factors. As a nice aside, I will state (but not prove) the original formula- tion of Connes’ embedding conjecture. No previous knowledge of C* algebras, ultraproducts, model theory, or von Neumann algebras will be assumed.