Analysis Seminar

Boyu Li, University of Victoria

"Amenable and Non-amenable Semigroups"

Since Nica introduced the notion of amenability of quasi-lattice ordered semigroups, the amenability for many classes of semigroups remain unanswered. We will give a brief overview of semigroup amenability, and show some recent developments on this topic using dilation theory. In particular, we shall show that Artin monoids are non-amenable except the class of right-angled. This is a joint work with Marcelo Laca.

MC 5417