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arXiv · 1512.05139

Furstenberg entropy values for nonsingular actions of groups without property (T)

Alexandre I. Danilenko
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Abstract

Let $G$ be a discrete countable infinite group that does not have Kazhdan's property ~(T) and let $κ$ be a generating probability measure on $G$. Then for each $t>0$, there is a type $III_1$ ergodic free nonsingular $G$-action whose $κ$-entropy (or the Furstenberg entropy) is $t$.

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Alexandre I. Danilenko. 2015-12-16. Furstenberg entropy values for nonsingular actions of groups without property (T). https://arxiv.org/abs/1512.05139

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