Data: Mercoledì 2 Novembre 2011, ore 16:30
Luogo: Aula D'Antoni, Dip. Matematica, Univ. Roma "Tor Vergata"
Speaker: Aristides Katavolos, Univ. of Athens
Titolo: Operator algebras from the discrete Heisenberg semigroup
Abstract: This is a study of reflexivity and structure properties of operator algebras generated by representations of the Heisenberg semi-group. We briefly revise earlier joint work with Steve Power (Lancaster) on the continuous Heisenberg semi-group. We show that the (restricted) left regular representation of the discrete Heisenberg semi-group gives rise to a semi-simple reflexive algebra. An example of a representation which gives rise to a non-reflexive algebra is presented. This is joint work with M. Anoussis (Aegean) and I. G. Todorov (Belfast).