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Rigidity for von
Neumann algebras of graph product groups, I: Structure of
automorphisms
Ionuţ Chifan, Michael Davis and Daniel Drimbe |
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Vol. 18 (2025), No. 5, 1119–1146
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Abstract |
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We study various rigidity aspects of the von Neumann algebra , where 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 -algebras by establishing formulas in the spirit of Genevois and Martin’s results on automorphisms of graph product groups. |
Keywords
von Neumann algebras, rigidity, graph product groups
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Mathematical Subject Classification
Primary: 46L10, 46L36
Secondary: 20E06
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Milestones
Received: 7 March 2023
Revised: 6 November 2023
Accepted: 21 December 2023
Published: 10 May 2025
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Authors |
| Ionuţ Chifan | |
| Department of Mathematics The University of Iowa Iowa City, IA United States |
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| Michael Davis | |
| Department of Mathematics The University of Iowa Iowa City, IA United States |
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| Daniel Drimbe | |
| Mathematical Institute University of Oxford Oxford United Kingdom |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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