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On operator amenability of Fourier-Stieltjes algebras

Operator Algebras 2018-06-25 v1 Functional Analysis

Abstract

We consider the Fourier-Stietljes algebra B(G) of a locally compact group G. We show that operator amenablility of B(G) implies that a certain semitolpological compactification of G admits only finitely many idempotents. In the case that G is connected, we show that operator amenability of B(G) entails that GG is compact.

Keywords

Cite

@article{arxiv.1806.08421,
  title  = {On operator amenability of Fourier-Stieltjes algebras},
  author = {Nico Spronk},
  journal= {arXiv preprint arXiv:1806.08421},
  year   = {2018}
}

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16 pages