MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Some remarks on the entropy for algebraic actions of amenable groups
Nhân Phú Chung and Andreas ThomAbstract
In this short note we study the entropy for algebraic actions of certain amenable groups. The possible values for this entropy are studied. Various fundamental results about certain classes of amenable groups are reproved using elementary arguments and the entropy invariant. We provide a natural decomposition of the entropy into summands contributed by individual primes and a summand corresponding to infinity. These results extend previous work by Lind and Ward on p-adic entropy.
- Received:
- 27.02.13
- Published:
- 28.02.13
- MSC Codes:
- 28D20, 37B40, 20J06
- Keywords:
- entropy, Torsion, Amenable groups, Algebraic actions