Categorical perspectives in noncommutative duality

Abstract

Noncommutative duality for C*-dynamical systems is a vast generalization of Pontryagin duality for locally compact abelian groups. In this series of lectures, we give an introduction to the categorical aspects of this duality, focusing primarily on Landstad duality for actions and coactions of locally compact groups.

These notes were written to accompany a mini-course given by the authors at the summer school on C*-algebras and their interplay with dynamical systems held at the Sophus Lie Conference Center in Nordfjordeid, Norway, in June 2010