Seminar:
Fall 2013, Thursdays, Milner 216, 4:00-4:50 PM
Date: November 7
Timothy Rainone
Abstract
This talk is aimed at graduate students and is intended to introduce some areas of interest in operator algebras and dynamical systems. We explore different notions of finiteness/infiniteness arising in C^*-Algebra theory and look at some prototypical examples, including the Cuntz algebras \mathcal{O}_n, and reduced group C^*-algebras C^*(\Gamma). The crossed product construction is described and we study to what extent its structure reflects paradoxical decompositions at the level of the dynamics.