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The Fourier–Stieltjes algebra of a $C^*$-dynamical system II

Volume 256 / 2021

Erik Bédos, Roberto Conti Studia Mathematica 256 (2021), 217-239 MSC: Primary 46L55; Secondary 37A55, 43A35, 46H25. DOI: 10.4064/sm190826-25-3 Published online: 15 June 2020

Abstract

We continue our study of the Fourier–Stieltjes algebra associated to a twisted (unital, discrete) $C^*$-dynamical system and discuss how the various notions of equivalence of such systems are reflected at the algebra level. As an application, we show that the amenability of a system, as defined in our previous work, is preserved under Morita equivalence.

Authors

  • Erik BédosInstitute of Mathematics
    University of Oslo
    P.B. 1053 Blindern
    N-0316 Oslo, Norway
    e-mail
  • Roberto ContiDipartimento di Scienze di Base
    e Applicate per l’Ingegneria
    Università Sapienza di Roma
    via A. Scarpa 16
    I-00166 Roma, Italy
    e-mail

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