Locally Compact Groups, Invariant Means and the Centres of Compactifications
Locally Compact Groups, Invariant Means and the Centres of Compactifications
This paper brings together two apparently unrelated results about locally compact groups G by giving them a common proof. The first concerns the number of topologically left invariant means on L∞(G), while the second states that the topological centre of the largest semigroup compactification of G is simply G itself. …