Probabilistic Operator Algebra seminar: Asymptotic $\varepsilon $-independence

Seminar | February 10 | 3-4 p.m. | 748 Evans Hall

 Ian Charlesworth, NSF Postdoctoral Fellow UC Berkeley

 Department of Mathematics

I will speak about $\varepsilon $-independence which an interpolation of classical and free independence originally studied by Mlotkowski and later by Speicher and Wysoczanski. To be $\varepsilon $-independent, a family of algebras in particular must satisfy pairwise classical or free independence relations prescribed by a ${0, 1}$ matrix $\varepsilon $, as well as more complicated higher order relations. I will discuss how matrix models for this independence may be constructed in a suitably-chosen tensor product of matrix algebras. This is joint work with Benoit Collins. ( This is a rescheduled talk, initially scheduled for October 28, 2019)