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

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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