Constructing Number Field Isomorphisms from *-Isomorphisms of Certain Crossed Product C*-Algebras.
Commun Math Phys
; 405(1): 20, 2024.
Article
em En
| MEDLINE
| ID: mdl-38983128
ABSTRACT
We prove that the class of crossed product C*-algebras associated with the action of the multiplicative group of a number field on its ring of finite adeles is rigid in the following explicit sense Given any *-isomorphism between two such C*-algebras, we construct an isomorphism between the underlying number fields. As an application, we prove an analogue of the Neukirch-Uchida theorem using topological full groups, which gives a new class of discrete groups associated with number fields whose abstract isomorphism class completely characterises the number field.
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MEDLINE
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En
Ano de publicação:
2024
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Article