On subfactors arising from asymptotic representations of symmetric groups

Details On subfactors arising from asymptotic representations of symmetric groups On subfactors arising from asymptotic representations of symmetric groups

2009-12-04

arxiv.org/abs/0912.0820v4

Mathematics

Operator Algebras

to appear in Proc. AMS

Scientific paper

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.

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