Groups of isometries of the Cuntz algebras
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 \(\mathcal{O}_n\).
noncommutative geometry of type III factors
scientific article; zbMATH DE number 7440295
scientific article