A metric characterization of freeness
Benoît Collins (Kyoto University, Japan)
Abstract: Freeness of random variables has many characterizations, with free cumulants, free entropy, Schwinger-Dyson equations, etc. Here, we discuss a new metric characterization with the norm of the sum of generators tensored by their adjoint, and explain the relation and applications to other problems in operator algebras and von Neumann algebras. Time permitting, we will also discuss some ingredients of the proof. This is based on joint work with Leonard Cadilhac.
operator algebras
Audience: researchers in the topic
Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.
The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | Rubén Martos, Frank Taipe*, Makoto Yamashita |
| *contact for this listing |