2011/08/03 by Roberto Conti, Wojciech Szymański, Conti, Roberto +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Advanced Operator Algebra Research
paper · doi:10.48550/arxiv.1108.0860
We survey recent results on endomorphisms and especially on automorphisms of the Cuntz algebras On, 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 On 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.