Complex Symmetric Generators and Dixmier Property with Tracial States ofC^*-algebras

Abstract

We study theC^*-algebras of labelled graphs II simplicity results with a finite and an infinite projection and of labelled spaces and their diagonal C*-subalgebras. The group actions and the structure of Gauge-invariant ideals of labelled graph with nuclear dimensionof C^*-algebras are dealt with. The applications and approximations of the complex symmetric operators and generators of C^*-algebras are shown. The dixmierapproximations theorem with property andsymmetric amenability with tracial states for the〖 C〗^*-algebras are discussed