Automorphisms of the Cuntz algebras

Details Automorphisms of the Cuntz algebras Automorphisms of the Cuntz algebras

2011-08-03

arxiv.org/abs/1108.0860v1

Mathematics

Operator Algebras

Submitted to the Proceedings of the EU-NCG 4th Annual Meeting, Bucharest 2011

Scientific paper

We survey recent results on endomorphisms and especially on automorphisms of the Cuntz algebras O_n, 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 O_n 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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