Unitary representations of Thompson groups

Vaughan Jones

Thompson groups are groups of local scaling transformations of the interval and the circle. I will give a method of constructing unitary representations of these groups using a categorical approach, an another speculative way using second quantization as one would for the diffeomorphism group.

http://scgp.stonybrook.edu/video_portal/video.php?id=4169

Simons- Workshop: Operator Algebras and Quantum Physics