# Operators, Spaces, Algebras, Modules 2010

## Matej Brešar

### 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).