Geodesic
Groups of isometries of the Cuntz algebras
Documenta mathematica, Tome 26 (2021), pp. 1799-1815.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 $\mathcal{O}_n$.
Classification : 46L40, 58B34
Keywords: Cuntz algebra, automorphism, gauge action, UHF algebra, KMS state, spectral triple, Connes distance, isometry group, noncommutative geometry of type III factors 
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     author = {Conti, Roberto and Rossi, Stefano},
     title = {Groups of isometries of the {Cuntz} algebras},
     journal = {Documenta mathematica},
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     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a8/}
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Conti, Roberto; Rossi, Stefano. Groups of isometries of the Cuntz algebras. Documenta mathematica, Tome 26 (2021), pp. 1799-1815. http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a8/