A Hitchhiker's Guide to Endomorphisms and Automorphisms of Cuntz Algebras

Abstract

We present a broad selection of results on endomorphisms and automorphisms of the Cuntz algebras On that have been obtained in the last decades. A wide variety of open problems is also included.

Keywords

• cuntz algebras
• c∗-algebras
• 2-adic ring c∗-algebra
• p-adic ring c∗-algebras
• endomorphisms
• automorphisms
• entropy
• index
• noncommutative geometry
• thompson groups
• knots
• representations