Homomorphisms between Stone-Čech homomorphisms into Stone-Čech remainders of countable groups (Q2491195)

In the paper under review the authors study properties of continuous homomorphisms from \(\beta S\) into \(T^*\) and from \(S^*\) into \(T^*\), where \(S\) is a countably infinite semigroup and \(T\) is a countably infinite group. The authors show that such homomorphisms have striking algebraic properties if they do not arise as continuous extensions of homomorphisms from \(S\) to \(T\). Some results of this paper are extensions of results which appeared in [\textit{P. Adams} and \textit{D. Strauss}, Semigroup Forum 65, No.3, 460--470 (2002; Zbl 1007.22006)].