The University of Arizona

An operad of non-commutative independences defined by trees

Mathematical Physics and Probability Seminar

An operad of non-commutative independences defined by trees
Series: Mathematical Physics and Probability Seminar
Location: ONLINE
Presenter: Weihua Liu, University of Arizona

Free probability theory is introduced by Voiuclescu to attack the free group von Neumann algebras isomorphism problem.  The key notion in this theory is the free independence relation which is a noncommutative analogue of independence relation in classical probability. In this talk, by generalizing the free independence relation, I will  introduce a new family of noncommutative independence relations. Furthermore, I will briefly show you some analytic results and combinatorial results for these new relations. This talk is based on the following two papers:

 

https://arxiv.org/abs/1901.09158 

https://arxiv.org/abs/1809.05789

(https://arizona.zoom.us/j/99811812123)