Groups and Operator Algebras Seminar

Speaker: Ian Thompson (University of Copenhagen)

Title:  Reduced gauge dynamics for Cuntz-Pimsner C*-algebras

Abstract:  Cuntz-Pimsner algebras define a wide range of C*-algebras that, in a sense, encode the dynamics of a C*-correspondence. A recurring technique is to capture a Cuntz-Pimsner algebra at the level of its correspondence and, in joint work with Adam Dor-On, we accomplish this for reduced crossed products. This was first proven by Hao and Ng for amenable groups and has since seen several improvements in the following decade. Our proof leans heavily on C*-envelope techniques popularized by Katsoulis and Ramsey, rather than the C*-algebra theory that appears in the formulation of the problem itself.