Journal article
New examples of W⁎ and C⁎-superrigid groups
Advances in mathematics (New York. 1965), Vol.412, 108797
01/01/2023
DOI: 10.1016/j.aim.2022.108797
Abstract
A countable discrete group G is called W⁎-superrigid (resp. C⁎-superrigid) if it is completely recognizable from its von Neumann algebra L(G) (resp. reduced C⁎-algebra Cr⁎(G)). Developing new technical aspects in Popa's deformation/rigidity theory we introduce several new classes of W⁎-superrigid groups which appear as direct products, semidirect products with non-amenable core and iterations of amalgamated free products and HNN-extensions. As a byproduct we obtain new rigidity results in C⁎-algebra theory including additional examples of C⁎-superrigid groups and explicit computations of symmetries of reduced group C⁎-algebras.
Details
- Title: Subtitle
- New examples of W⁎ and C⁎-superrigid groups
- Creators
- Ionuţ Chifan - Department of Mathematics, The University of Iowa, 14 MacLean Hall, IA, 52242, USAAlec Diaz-Arias - Department of Mathematics, The University of Iowa, 14 MacLean Hall, IA, 52242, USADaniel Drimbe - KU Leuven
- Resource Type
- Journal article
- Publication Details
- Advances in mathematics (New York. 1965), Vol.412, 108797
- Publisher
- Elsevier Inc
- DOI
- 10.1016/j.aim.2022.108797
- ISSN
- 0001-8708
- eISSN
- 1090-2082
- Grant note
- University of Iowa (https://doi.org/10.13039/100008893) 12T5221N / FWO (https://doi.org/10.13039/501100003130) DMS-1600688 / NSF (https://doi.org/10.13039/100000001) PIMS (https://doi.org/10.13039/100009059) DMS-1600688; FRG DMS-1854194 / NSF (https://doi.org/10.13039/100000001)
- Language
- English
- Date published
- 01/01/2023
- Academic Unit
- Mathematics
- Record Identifier
- 9984321958902771
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