Affiliation:
1. Ferdowsi University of Mashhad
Abstract
In this talk, we review some kinds of independence in setting of operator algebras. We introduce the notion of Hilbert 𝐶∗-module independence and show that it is a natural generalization of the notion of 𝐶∗-independence. Furthermore, we demonstrate that even in the case of 𝐶∗-algebras this concept of independence is new and has a nice characterization in terms of Hahn-Banach type extensions.This talk is based on a joint work with R. Eskandari, J. Hamhalter, and V. M. Manuilov.