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Publications > Preprint server > Preprint Number 1008
Preprint Number 1008
1008. Itaï Ben Yaacov, Tomás Ibarlucía and Todor Tsankov Eberlein oligomorphic groups E-mail: Submission date: 16 February 2016. Abstract: We study the Fourier-Stieltjes algebra of Roelcke precompact,
non-archimedean, Polish groups and give a model-theoretic description of the
Hilbert compactification of these groups. We characterize the family of such
groups whose Fourier-Stieltjes algebra is dense in the algebra of weakly
almost periodic functions: those are exactly the automorphism groups of
ℵ_0-stable, ℵ_0-categorical structures. This analysis is then
extended to all semitopological semigroup compactifications S of such a
group: S is Hilbert-representable if and only if it is an inverse
semigroup. Mathematics Subject Classification: Keywords and phrases: |

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