Weekly Operator Algebra Seminar

Operator Algebra Seminar

Speaker: Martino Lupini (Vienna)

Title: Operator system and operator space analogs of the Cuntz algebra

Abstract: We study the operator system and operator space analogs of the Cuntz algebra, and show that a version of Kirchberg's embedding theorems holds in this context. These spaces can be thought as a link between the Cuntza algebra and the Gurarij Banach space. We aim at using this perspective to shed light on the properties of the Cuntz algebra and its automorphism group.