@inproceedings{ac83363204c64244b1b25ce7963a8d04,

title = "Automorphisms of the Cuntz algebras",

abstract = "We survey recent results on endomorphisms and especially on automorphisms of the Cuntz algebras, 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. ",

keywords = "Cuntz algebra, endomorphism, automorphism, Cartan subalgebra, core UHF-subalgebra, normalizer, Weyl group, permutation, tree, shift",

author = "Roberto Conti and Wojciech Szymanski",

year = "2012",

language = "English",

isbn = "978-606-8443-01-0",

series = "Theta Series in Advanced Mathematics",

publisher = "Theta",

pages = "1--15",

editor = "Ionel Popescu and Radu Purice",

booktitle = "Progress in operator algebras, noncommutative geometry, and their applications",

}