Geodesic
Groups of isometries of the Cuntz algebras
Documenta mathematica, Tome 26 (2021), pp. 1799-1815
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We provide a new interpretation of the group of Bogolubov automorphisms of the Cuntz algebras On​ and the group Aut(On​,Fn​) of all automorphisms preserving the UHF subalgebra Fn​⊂On​ as the isometry groups coming from two distinct spectral triples on On​.
DOI : 10.4171/dm/856
Classification : 46L40, 58B34
Mots-clés : KMS state, gauge action, automorphism, Cuntz algebra, UHF algebra, spectral triple, Connes distance, isometry group, noncommutative geometry of type III factors 
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     author = {Roberto Conti and Stefano Rossi},
     title = {Groups of isometries of the {Cuntz} algebras},
     journal = {Documenta mathematica},
     pages = {1799--1815},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/856},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/856/}
}
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Roberto Conti; Stefano Rossi. Groups of isometries of the Cuntz algebras. Documenta mathematica, Tome 26 (2021), pp. 1799-1815. doi: 10.4171/dm/856

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