University of Illinois at Urbana-Champaign
Department of Mathematics
Colloquium
by
Prof. Kenneth Davidson

4:00 PM, Thursday, December 3, 1998, 245 Altgeld Hall.

Nevanlinna--Pick Interpolation for non-commutative analytic Toeplitz algebras
The non-commutative analytic Toeplitz algebra is the WOT-closed algebra generated by the left regular representation of the free semigroup on $n$ generators. We will first review earlier work to explain why this non-commutative algebra has an analytic structure associated to the unit ball in $\mathbb{C}^n$. Then we will discuss a natural interpolation problem for this algebra which is the analogue of the classical Nevanlinna--Pick interpolation in the disk.