Automorphisms of the Cuntz algebras
Operator Algebras
2011-08-04 v1 Functional Analysis
Group Theory
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.
Keywords
Cite
@article{arxiv.1108.0860,
title = {Automorphisms of the Cuntz algebras},
author = {Roberto Conti and Wojciech Szymanski},
journal= {arXiv preprint arXiv:1108.0860},
year = {2011}
}
Comments
Submitted to the Proceedings of the EU-NCG 4th Annual Meeting, Bucharest 2011