Cuntz Splice invariance for purely infinite graph algebras

TL;DR

This paper proves that the Cuntz Splice operation does not change the stable isomorphism class of purely infinite graph C*-algebras with finitely many ideals, contributing to the understanding of their structural invariance.

Contribution

It establishes the invariance of purely infinite graph C*-algebras under the Cuntz Splice, a key operation in their classification theory.

Findings

Cuntz Splice preserves stable isomorphism classes

Invariance holds for algebras with finitely many ideals

Advances classification of purely infinite graph C*-algebras

Abstract

We show that the Cuntz Splice preserves the stable isomorphism class of a purely infinite graph C*-algebra with finitely many ideals.