On subfactors arising from asymptotic representations of symmetric groups
arXiv:0912.0820 · doi:10.1090/S0002-9939-2011-10991-2
Abstract
We consider the infinite symmetric group and its infinite index subgroup given as the stabilizer subgroup of one element under the natural action on a countable set. This inclusion of discrete groups induces a hyperfinite subfactor for each finite factorial representation of the larger group. We compute subfactor invariants of this construction in terms of the Thoma parameter.
arXiv commentto appear in Proc. AMS