Automorphisms of the Cuntz algebras
Abstract
We survey recent results on endomorphisms and especially on automorphisms of the Cuntz algebras On, with a special emphasis on the structure of the Weyl group. We discuss endomorphisms globally preserving the diagonal MASA and their corresponding actions. In particular, we investigate those endomorphisms of On which restrict to automorphisms of the diagonal. We review a combinatorial approach to the study of permutative endomorphisms. All the presented material is put in context with current research topics.
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