Minimal determinants for the centres and topological centres of some
- Date: 03/23/2007
John Pym (University of Sheffield)
University of Alberta
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 u Î G. In fact just one convergent net is absolutely necessary. Easy proofs of these facts will be given.
PIMS Distinguished Chair Lectures 2007