Right ideal decompositions of G*

摘要

Let G be an infinite discrete group, let beta G be the Stone-Cech compactification of G, and let G* = beta GG. We show that if G can be embedded algebraically in a compact zero dimensional second countable group (in particular, if G = Z), then there are a decomposition D of G* into right ideals of beta G and a closed subsemigroup T of G* containing all the idempotents such that D-T = {R boolean AND T : R epsilon D} is a decomposition of T into closed right ideals and T/D-T is homeomorphic to omega*. (C) 2016 Elsevier B.V. All rights reserved.