On subfactors arising from asymptotic representations of symmetric groups
Operator Algebras
2013-05-06 v4
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.
Keywords
Cite
@article{arxiv.0912.0820,
title = {On subfactors arising from asymptotic representations of symmetric groups},
author = {Makoto Yamashita},
journal= {arXiv preprint arXiv:0912.0820},
year = {2013}
}
Comments
to appear in Proc. AMS