A Survey of Free Semigroup Algebras.

K. R. Davidson

University of Waterloo, Canada


Abstract

A free semigroup algebra is a weakly closed algebra of operators on Hilbert space generated by n isometries with pairwise orthogonal ranges. 

The prototype is the algebra Ln generated by the left regular representation of the free semigroup
on n letters. 

I will present a survey of results on these algebras.

Talk 1. Introduction and History.  The structure of L
n. Wednesday, July 7, at 11:15

Talk 2. The structure of general free semigroup algebras.  Thursday, July 8, at 18:30

Talk 3. Wandering vectors and Kennedy's solution.
  Friday, July 9, at 18:30