On graph products of multipliers and the Haagerup property for -dynamical systems

@inproceedings{Atkinson2018OnGP,
  title={On graph products of multipliers and the Haagerup property for -dynamical systems},
  author={Scott C. Atkinson},
  year={2018}
}
We consider the notion of the graph product of actions of groups $\left\{G_v\right\}$ on a $C^*$-algebra $\mathcal{A}$ and show that under suitable commutativity conditions the graph product action $\bigstar_\Gamma \alpha_v: \bigstar_\Gamma G_v \curvearrowright \mathcal{A}$ has the Haagerup property if each action $\alpha_v: G_v \curvearrowright \mathcal{A}$ possesses the Haagerup property. This generalizes the known results on graph products of groups with the Haagerup property. To accomplish… CONTINUE READING