Some Operator Algebras from Semigroups

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type , Article 28 Sep 2013 Greece English Publisher:Springer Basel

Authors: Katavolos, A.;

doi: 10.1007/978-3-0348-0502-5_5

Some Operator Algebras from Semigroups

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Abstract

This is a study of reflexivity and structure properties of operator algebras generated by representations of the Heisenberg semigroup.We briefly revise earlier joint work with S.C. Power [14] on the continuous Heisenberg semigroup. We then show that the (restricted) left regular representation of the discrete Heisenberg semigroup gives rise to a reflexive operator algebra, which is semisimple. An example of a representation giving rise to a nonreflexive algebra is presented.

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Greece

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National and Kapodistrian University of Athens
Greece

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