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arXiv · 1212.1230

Finite Factor Representations of Higman-Thompson groups

Artem Dudko·Konstantin Medynets
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Abstract

We prove that the only finite factor-representations of the Higman-Thompson groups $\{F_{n,r}\}$, $ \{G_{n,r}\}$ are the regular representations and scalar representations arising from group abelianizations. As a corollary, we obtain that any measure-preserving ergodic action of a simple Higman-Thompson group must be essentially free. Finite factor representations of other classes of groups are also discussed.

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Artem Dudko, Konstantin Medynets. 2012-12-11. Finite Factor Representations of Higman-Thompson groups. https://arxiv.org/abs/1212.1230

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