2011/11/02 by Eli Glasner, Glasner, Eli
Computer Science · Mathematics · #Advanced Topology and Set Theory #Mathematical Dynamics and Fractals #math.DS #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1111.0510
arxiv created 2011/11/02 · arxiv updated 2011/11/03
The families of right (left) translation finite subsets of a discrete infinite group Γ are defined and shown to be ideals. Their kernels ZR and ZL are identified as the closure of the set of products pq (p⋅ q) in the Čech-Stone compactification βΓ. Consequently it is shown that the map π: βΓ→ ΓWAP, the canonical semigroup homomorphism from βΓ onto ΓWAP, the universal semitopological semigroup compactification of Γ, is a homeomorphism on the complement of ZR ∪ ZL.