# Rigidity for von Neumann algebras of graph product groups. I. Structure of automorphisms

@inproceedings{Chifan2022RigidityFV, title={Rigidity for von Neumann algebras of graph product groups. I. Structure of automorphisms}, author={Ionut Chifan and Michael W. Davis and Daniel Drimbe}, year={2022} }

In this paper we study various rigidity aspects of the von Neumann algebra L p Γ q where Γ is a graph product group [Gr90] whose underlying graph is a certain cycle of cliques and the vertex groups are the wreath-like product property (T) groups introduced recently in [CIOS21]. Using an approach that combines methods from Popa’s defor-mation/rigidity theory with new techniques pertaining to graph product algebras, we describe all symmetries of these von Neumann algebras and reduced C…

## One Citation

### The CCAP for graph products of operator algebras

- Mathematics
- 2022

. For a simple graph Γ and for unital C * -algebras with GNS-faithful states p A v ,ϕ v q for v P V Γ, we consider the reduced graph product p A ,ϕ q “ ˚ v, Γ p A v ,ϕ v q , and show that if every C…

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