Operators, Spaces, Algebras, Modules 2010

Matej BreŇ°ar

Title:

Lie ideals in algebra and functional analysis

Abstract:

We will discuss two topics on Lie ideals, both connecting algebra and functional analysis. The first topic concerns the structure of Lie ideals in pure algebra and in C*-algebras (a joint work with E. Kissin and V. Shulman). The second topic uses Lie ideals in order to describe the linear span of evaluations of a noncommutative polynomial on B(H) (a joint work with I. Klep).