Journal article
Rigidity for von Neumann algebras of graph product groups, I: Structure of automorphisms
Analysis & PDE, Vol.18(5), pp.1119-1146
05/10/2025
DOI: 10.2140/apde.2025.18.1119
Abstract
We study various rigidity aspects of the von Neumann algebra L(Γ), where Γ is a graph product group whose underlying graph is a certain cycle of cliques and the vertex groups are wreath-like product property (T) groups. Using an approach that combines methods from Popa’s deformation/rigidity theory with new techniques pertaining to graph product algebras, we describe all symmetries of these von Neumann algebras and reduced C∗-algebras by establishing formulas in the spirit of Genevois and Martin’s results on automorphisms of graph product groups.
Details
- Title: Subtitle
- Rigidity for von Neumann algebras of graph product groups, I: Structure of automorphisms
- Creators
- Ionuţ ChifanMichael DavisDaniel Drimbe
- Resource Type
- Journal article
- Publication Details
- Analysis & PDE, Vol.18(5), pp.1119-1146
- DOI
- 10.2140/apde.2025.18.1119
- ISSN
- 2157-5045
- eISSN
- 1948-206X
- Publisher
- Mathematical Sciences Publishers; BERKELEY
- Language
- English
- Date published
- 05/10/2025
- Academic Unit
- Mathematics
- Record Identifier
- 9984823072902771
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