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arXiv · 1812.02694

Characters and invariant random subgroups of the finitary symmetric group

Simon Thomas
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Abstract

We will describe the relationship between the indecomposable characters of the finitary symmetric group and its ergodic invariant random subgroups; and we will interpret each Thoma character as an asymptotic limit of a naturally associated sequence of characters induced from linear characters of Young subgroups of finite symmetric groups.

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Simon Thomas. 2018-12-06. Characters and invariant random subgroups of the finitary symmetric group. https://arxiv.org/abs/1812.02694

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