Analysis Seminar: A notion of index for finite-dimensional operator systems
Speaker: Thomas Sinclair, Purdue University
Abstract: Inspired by a well-known characterization of the Jones index of an inclusion of II_1 factors due to Pimsner and Popa, we define an index-type invariant for inclusions of finite-dimensional operator systems. We will
compute examples of this invariant, and explain how it generalizes the Lovasz theta invariant to general matricial systems in a manner that is closely related to the quantum Lovasz theta invariant defined by Duan, Severini, and Winter.
Host: Walton Green