I will describe a general construction of actions of Thompson’s groups F, T and V and focus on a special kind - unitary representations on a (necessarily infinite dimensional)
Hilbert space, coming from very simple combinatorial data. They can be approached via their matrix coefficients which are literally visible. There are many open questions but at least for one family of combinatorial data we can decide equivalence and irreducibility.
Back to Workshop II: Approximation Properties in Operator Algebras and Ergodic Theory