| Autor: |
YAACOV, ITAÏ BEN, IBARLUCÍA, TOMÁS, TSANKOV, TODOR |
| Předmět: |
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| Zdroj: |
Transactions of the American Mathematical Society; Mar2018, Vol. 370 Issue 3, p2181-2209, 29p |
| Abstrakt: |
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 ...0-stable, ...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. We also show that every factor of the Hilbert compactification is Hilbert-representable. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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