On subfactors arising from asymptotic representations of symmetric groups

Yamashita, Makoto

doi:10.1090/S0002-9939-2011-10991-2

On subfactors arising from asymptotic representations of symmetric groups
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by Makoto Yamashita PDF

Proc. Amer. Math. Soc. 140 (2012), 249-261 Request permission

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.

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