An Introduction to Subfactors in Mathematics and Physics

Subfactors and elementary examples. Index in the type II case. Bimodules. The tower of relative commutants and restrictions on index values. Construction of examples. Braid group representations and knot polynomials. Vaughan F. R. JONES

Course Description
We will introduce the theory of subfactors and their interactions with topology and physics. We intend to describe the current state of classification of subfactors and attack the question of whether all subfactors have something to do with quantum field theory, including an appearance of Richard Thompson’s groups F and T.