An Overview of Operator-Valued Bi-Free Independence and Bi-Matrix Models
Paul Skoufranis · Open Collections · 2017
In this talk, we will provide an overview of the structures and constructions developed to study bi-free independence. In particular, we will focus on several results pertaining to operator-valued bi-free probability. These results are important in developing a rich theory to apply to the scalar-valued setting and giving a true sense of what bi-free probability is. In particular, by studying operator-valued bi-free probability one obtains a good notion of the analogue of random matrix models in the bi-free setting.