C*-algebras are norm closed self-adjoint algebras of bounded operators on Hilbert space, and so arise naturally from unitary representations of groups and group actions, amongst other constructions. Large scale work of many researchers over decades has recently culminated in a definitive classification theorem for simple amenable C*-algebras of finite topological dimension. In this talk, I’ll describe this theorem: which C*-algebras are classified, and by what data, and how this connects to corresponding theorems in von Neumann algebras. The talk will be illustrated by examples coming from group actions. No prior knowledge of operator algebras will be assumed.
Thursday, November 2, 15h00
