C*-irreducibility for reduced twisted group C*-algebras

TL;DR

This paper investigates the conditions under which inclusions of reduced twisted group C*-algebras are C*-irreducible, providing characterizations and new examples to advance understanding in operator algebra theory.

Contribution

It offers a characterization of C*-irreducibility for inclusions from normal subgroups and introduces numerous new examples of such irreducible inclusions.

Findings

Characterization of C*-irreducibility for normal subgroup inclusions

Identification of many new examples of C*-irreducible inclusions

Enhanced understanding of the structure of reduced twisted group C*-algebras

Abstract

We study C*-irreducibility of inclusions of reduced twisted group C*-algebras and of reduced group C*-algebras. We characterize C*-irreducibility in the case of an inclusion arising from a normal subgroup, and exhibit many new examples of C*-irreducible inclusions.