Lia Vas (Philadelphia, USA): Algebraization of Operator Theory

Prof. Lia Vas (University of the Sciences, Philadelphia, USA) will give a talk with title: 

                 Algebraization of Operator Theory



I have been working in algebra and ring theory, in particular with rings of operators, involutive rings, Baer *-rings and Leavitt path algebras. These rings were introduced in order to simplify the study of sometimes rather cumbersome operator theory concepts. For example, a Baer *- ring is an algebraic analogue of an AW*-algebra and a Leavitt path algebra is an algebraic analogue of a graph C*-algebra. Such rings of operators can be studied without involving methods of operator theory. Thus

Algebraization of Operator Theory

is a common thread between most of the topics of my interest. After some overview of the main ideas of such algebraization, I will focus on one common aspect of some of the rings of operators – the existence of a trace as a way to measure the size of subspaces/subalgebras. In particular, we adapt some desirable properties of a complex-valued trace on a C*-algebra to a larger class of algebras. 

Published June 21, 2017 10:08 AM - Last modified June 21, 2017 10:08 AM