2013/02/23 by Nhan-Phu Chung, Nhan‐Phu Chung, Andreas Thom +2
Computer Science · Mathematics · #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Rings and Algebras (math.RA) #Topological and Geometric Data Analysis #math.DS #math.GR #math.RA
paper · pdf · doi:10.48550/arxiv.1302.5813
23 pages, no figures; v2 minor revision
openalex publication_date 2013/02/23 · arxiv created 2013/03/14 · arxiv updated 2013/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.