• Corpus ID: 252544997

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}
}
• Published 26 September 2022
• Mathematics
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…
1 Citations
. 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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