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arXiv · 0912.0820

On subfactors arising from asymptotic representations of symmetric groups

Makoto Yamashita
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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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Makoto Yamashita. 2009-12-04. On subfactors arising from asymptotic representations of symmetric groups. https://doi.org/10.1090/s0002-9939-2011-10991-2

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