Subfactors with infinite representation theory

Speaker: 

Dietmar Bisch

Affiliation: 

Vanderbilt University

Date: 

Tue, 14/02/2017 - 12:00pm to 1:00pm

Venue: 

RC-4082, The Red Centre, UNSW

Abstract: 

An inclusion of certain algebras of operators on Hilbert sapce is called a subfactor. It is a mathematical object with an extremely interesting representation theory that is similar in many ways to the representation theory of groups.

A subfactor is said to have infinite representation theory, or infinite depth, if its standard representation generates infinitely many non-equivalent irreducibles. Such subfactors are hard to come by, and only very few methods to explicitly construct examples are known. I will highlight one such procedure and discuss properties of these subfactors. The talk will be accessible to non-experts.

School Seminar Series: