English

Weak amenability for dynamical systems

Operator Algebras 2020-02-28 v3 Functional Analysis

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 to crossed products and study its multipliers.

Keywords

Cite

@article{arxiv.1612.01758,
  title  = {Weak amenability for dynamical systems},
  author = {Andrew McKee},
  journal= {arXiv preprint arXiv:1612.01758},
  year   = {2020}
}

Comments

18 pages

R2 v1 2026-06-22T17:14:39.823Z