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Paper detail

Automorphisms of the Cuntz algebras

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.

preprint2011arXivOpen access
Roberto ContiWojciech Szymanski
math.OAmath.GRmath.FA
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Roberto ContiWojciech Szymanski

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