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arXiv · 1109.3413

Totally nonfree actions and infinite symmetric group

Anatoly Vershik
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Abstract

We consider the totally nonfree (TNF) action of a groups and the corresponding adjoint invariant (AD) measures on the lattices of the subgroups of the given group. The main result is the description of all adjoint-invariant and TNF-measures on the lattice of subgroups of the infinite symmetric group $S_{\Bbb N}$. The problem is closely related to the theory of characters and factor representations of groups.

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Anatoly Vershik. 2011-11-01. Totally nonfree actions and infinite symmetric group. https://arxiv.org/abs/1109.3413

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