Analysis Seminar

Ivan Todorov, University of Delaware

"Morita equivalence for operator systems"

Morita equivalence, having arisen first in Algebra, has had a continuing impact on non-commutative analysis, after its introduction into the subject by M. Rieffel in the 1970’s. Studied originally for selfadjoint operator algebras, it was subsequently extended to a fruitful notion in the categories of (non-selfadjoint) operator algebras and operator spaces. In this talk, based on a joint work with G. Eleftherakis and E. Kakariadis, I will present recent results on a type of Morita equivalence in the category of operator systems. After motivating the question, I will describe how Morita equivalence in the operator system category differs and in what ways it is similar to its counterparts in the other aforementioned categories. I will discuss the non-commutative graph viewpoint on operator systems and highlight how this view allows for richer characterisations of Morita equivaence in the operator system category.

This seminar will be held jointly online and in person:

• Zoom link: https://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
• Room: MC 5501