Operator algebra seminar
Speaker: José Carrión, Penn State
Title: Quasi-representations, surface groups, and almost-flat bundles
Abstract: We discuss how almost-multiplicative maps ("quasi-representations") of a group may be used to study associated K-theory groups. We hope to cover two topics: first, explicit computations that can be carried out for fundamental groups of orientable surfaces; and second, a correspondence between quasi-representations and almost-flat bundles that allows one to "lift" homomorphisms of the K_0-group of the group C*-algebra to quasi-representations under suitable hypothesis. This is joint work with Marius Dadarlat.