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arXiv · 1108.0860

Automorphisms of the Cuntz algebras

Roberto Conti·Wojciech Szymanski
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Abstract

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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BibTeXRIS

Roberto Conti, Wojciech Szymanski. 2011-08-03. Automorphisms of the Cuntz algebras. https://arxiv.org/abs/1108.0860

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