Operator Theory Seminar

Nicholas Manor, Department of Pure Mathematics, University of Waterloo

“Basics on C∗-algebras” Abstract

The goal of this seminar series is to go through Vern Paulsen’s ‘Completely Bounded Maps and Operator Algebras’. In this first installment, we will cover chapter 1. The basic order structure of a C∗-algebra will be reviewed, as well as basic concepts which arise naturally by considering matrices of these objects. We will discuss dilations of operators insofar as they are needed to understand Sz.-Nagy’s dilation theorem, and von Neumann’s inequality. We will conclude our first meeting by going over some exercises at the end of chapter 1.

MC 5403