Entropy on modules over the group ring of a sofic group

Abstract

We partially generalize Peters' formula on modules over the group ring $\mathbb{F}\Gamma$ for a given finite field $\mathbb{F}$ and a sofic group $\Gamma$. It is also discussed that how the values of entropy are related to the zero divisor conjecture.

References in corpus (1)

• Amenability of groups is characterized by Myhill's Theorem