Über die Einlagerung topologischer Gruppen in Kompakte
Let be a group, be the Stone-Čech compactification of endowed with the structure of a right topological semigroup and . Given any subset of and , we define the -companion of , and characterize the subsets with finite and discrete ultracompanions.
This is a sequel to our recent work (2012) on the Fourier-Stieltjes algebra B(G) of a topological group G. We introduce the unitary closure G̅ of G and use it to study the Fourier algebra A(G) of G. We also study operator amenability and fixed point property as well as other related geometric properties for A(G).