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Unitary closure and Fourier algebra of a topological group

Volume 231 / 2015

Anthony To-Ming Lau, Jean Ludwig Studia Mathematica 231 (2015), 1-28 MSC: Primary 22A10; Secondary 43A30. DOI: 10.4064/sm8138-1-2016 Published online: 9 February 2016

Abstract

This is a sequel to our recent work (2012) on the Fourier–Stieltjes algebra $ B(G) $ of a topological group $ G $. We introduce the unitary closure $ \overline G $ of $ G $ and use it to study the Fourier algebra $ A(G) $ of $ G $. We also study operator amenability and fixed point property as well as other related geometric properties for $ A(G) $.

Authors

  • Anthony To-Ming LauDepartment of Mathematical
    and Statistical Sciences
    University of Alberta
    Edmonton T6G-2G1, Canada
    e-mail
  • Jean LudwigInstitut Élie Cartan de Lorraine
    Université de Lorraine-Metz
    Bâtiment A, Ile du Saulcy
    F-57045 Metz, France
    e-mail

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