Operators, Spaces, Algebras, Modules 2010

Matej BreŇ°ar


Lie ideals in algebra and functional analysis


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).