Groups of isometries of the Cuntz algebras
type: Item
instance of: scholarly article
title: Groups of isometries of the Cuntz algebras
zbMATH Open document ID: 1490.46058
author: Roberto Conti
author: Stefano Rossi
published in: Documenta Mathematica
publication date: 2021-12-08T00:00:00Z
review text: Summary: We provide a new interpretation of the group of Bogolubov automorphisms of the Cuntz algebras \(\mathcal{O}_n\) and the group \(\operatorname{Aut}(\mathcal{O}_n,\mathcal{F}_n)\) of all automorphisms preserving the UHF subalgebra \(\mathcal{F}_n\subset\mathcal{O}_n\) as the isometry groups coming from two distinct spectral triples on \(\mathcal{O}_n\).
Mathematics Subject Classification ID: 46L40
Mathematics Subject Classification ID: 58B34
zbMATH DE Number: 7440295
zbMATH Keywords: Cuntz algebra
zbMATH Keywords: automorphism
zbMATH Keywords: gauge action
zbMATH Keywords: UHF algebra
zbMATH Keywords: KMS state
zbMATH Keywords: spectral triple
zbMATH Keywords: Connes distance
zbMATH Keywords: isometry group
zbMATH Keywords: noncommutative geometry of type III factors
MaRDI profile type: Publication
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DOI: 10.25537/DM.2021V26.1799-1815
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description: scientific article; zbMATH DE number 7440295