Algebra Seminar: Brothier -- Classification of representations of the Richard Thompson groups and of the Cuntz algebra

Arnaud Brothier (UNSW) is speaking in the Algebra Seminar this week.  We will go out for
lunch after the talk.  

When: Friday 1 September, 12-1pm Where: Carslaw 173 

Title: Classification of representations of the Richard Thompson groups and of the Cuntz
algebra 

Abstract: Vaughan Jones technology permits to lift functors to group actions of fraction
groups.  This provides new ways to build explicit unitary representations of the Richard
Thompson groups F,T,V.  I will introduce the so-called Pythagorean C*-algebra and
explain how representation of it yield representations of the three Thompson groups and
additionally of the Cuntz algebra.  I will then explain how to reduce difficult problems
concerning irreducibility and unitarily conjugacy of those representations into finite
dimensional linear algebra and how beautiful moduli spaces naturally emerge.  This is a
joint work with Dilshan Wijesena that continues a previous collaboration with Vaughan
Jones.