Title: Braided tensor categories from von Neumann algebras
Speaker: Quan Chen (The Ohio State University)
Abstract: Given a W*-category C, we construct a unitary braided tensor category End_loc(C) of local endofunctors on C, which is a new construction of a braided tensor category associated with an arbitrary W*-category. For the W*-category of finitely generated projective modules over a von Neumann algebra M, this yields a unitary braiding on Popa's χ~(M), which extends Connes' χ(M) and Jone's kappa invariant.
Given a finite depth inclusion M_0\subset M_1 of non-Gamma II1 factors, we show that χ~(M_\infty) is equivalent to the Drinfeld center of the standard invariant, where M_infty is the inductive limit of the Jones tower of basic construction.
URL associated with Seminar: https://www.asc.ohio-state.edu/math/vqss/