Invariance of the Cuntz splice
S{\o}ren Eilers, Gunnar Restorff, Efren Ruiz, and Adam P.W., S{\o}rensen
TL;DR
This paper proves that applying the Cuntz splice operation to a graph $C^*$-algebra does not change its stable isomorphism class, highlighting an invariance property in the algebraic structure.
Contribution
The paper establishes that the Cuntz splice preserves stable isomorphism classes of graph $C^*$-algebras, providing new insights into their structural invariances.
Findings
Cuntz splice induces stably isomorphic graph $C^*$-algebras
Invariance property of the Cuntz splice in graph $C^*$-algebras
Enhances understanding of graph algebra transformations
Abstract
We show that the Cuntz splice induces stably isomorphic graph -algebras.
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