Analysis Seminar

Boyu Li, Department of Pure Mathematics, University of Waterloo

"Examples of Free Semigroupoid Algebras"

A free semigroupoid algebra is the weak-operator closure of an algebra generated by a Toeplitz-Cuntz-Kreiger family associated with a directed graph. They are natural generalizations of free semigroup algebras that were first studied by Davidson and Pitts. We generalized many earlier results on free semigroup algebras and established a structure theorem for free semigroupoid algebras. In this talk, I will briefly go over the structure of free semigroupoid algebras, and focus on some classes of interest examples. In particular, I will explain how we used a recently solved conjecture in graph theory to prove the free semigroupoid algebra associated to a large class of directed graphs can be self-adjoint. This is a joint with with Ken Davidson and Adam Dor-on.

MC 5417