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Weak amenability for dynamical systems

Volume 258 / 2021

Andrew McKee Studia Mathematica 258 (2021), 53-70 MSC: Primary 46L55; Secondary 46L05. DOI: 10.4064/sm200227-20-7 Published online: 15 October 2020

Abstract

Using the recently developed notion of a Herz–Schur multiplier of a $C^*$-dynamical system we introduce weak amenability of $C^*$- and $W^*$-dynamical systems. As a special case we recover Haagerup’s characterisation of weak amenability of a discrete group. We also consider a generalisation of the Fourier algebra and its multipliers to crossed products.

Authors

  • Andrew McKeeDepartment of Mathematical Sciences
    Chalmers University of Technology
    and the University of Gothenburg
    SE-412 96 Göteborg, Sweden
    and
    Faculty of Mathematics
    University of Białystok
    K. Ciołkowskiego 1M
    15-245 Białystok, Poland
    e-mail

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