Minimal determinants for the centres and topological centres of some
Date
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Topic
The algebraic centre of the uniformly continuous compactification GUC of an abelian locally compact group G is G itself. There is a stronger result: if u commutes with just two (carefully chosen) elements of GUC then u must be in G. The topological version of this idea is that if uvj®uv whenever vj®v in GUC, then uÎG. In fact just one convergent net is absolutely necessary. Easy proofs of these facts will be given.