Entropy on modules over the group ring of a sofic group

Liang, Bingbing

doi:10.1090/proc/14271

Entropy on modules over the group ring of a sofic group
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Proc. Amer. Math. Soc. 147 (2019), 727-734 Request permission

Abstract:

We partially generalize Peters’ formula [Adv. in Math. 33 (1979), pp. 1–13] on modules over the group ring $\mathbb {F} \Gamma$ for a given finite field $\mathbb {F}$ and a sofic group $\Gamma$. We also discuss how the values of entropy are related to the zero-divisor conjecture.

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