On maximal ideals in certain reduced twisted C*-crossed products

TL;DR

This paper establishes conditions under which maximal invariant ideals of a unital C*-algebra correspond bijectively to maximal ideals in the associated reduced twisted C*-crossed product, advancing understanding of ideal structures in crossed products.

Contribution

It provides new criteria linking invariant ideals of A with maximal ideals in the reduced twisted C*-crossed product, clarifying their relationship.

Findings

Bijection between maximal invariant ideals of A and maximal ideals in the crossed product.

Conditions for the existence of this bijection are explicitly characterized.

Enhances understanding of ideal structure in twisted crossed products.

Abstract

We consider a twisted action of a discrete group G on a unital C*-algebra A and give conditions ensuring that there is a bijective correspondence between the maximal invariant ideals of A and the maximal ideals in the associated reduced C*-crossed product.