English

Entropy on modules over the group ring of a sofic group

Dynamical Systems 2021-03-02 v1 Rings and Algebras

Abstract

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

Keywords

Cite

@article{arxiv.1710.04330,
  title  = {Entropy on modules over the group ring of a sofic group},
  author = {Bingbing Liang},
  journal= {arXiv preprint arXiv:1710.04330},
  year   = {2021}
}
R2 v1 2026-06-22T22:10:55.027Z