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Weak amenability for dynamical systems

Published 6 Dec 2016 in math.OA and math.FA | (1612.01758v3)

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.

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