Centers of Cuntz-Krieger $C^*$-algebras

TL;DR

This paper characterizes the center of Cuntz-Krieger $C^*$-algebras associated with finite directed graphs, providing a complete description based on graph properties.

Contribution

It offers a precise determination of the center of Cuntz-Krieger $C^*$-algebras for finite graphs, extending understanding of their algebraic structure.

Findings

Explicit description of the center based on graph structure

Identification of conditions for the center to be non-trivial

Connection between graph properties and algebraic center

Abstract

For a finite directed graph $\Gamma$ we determine the center of the Cuntz-Krieger $C^*$-algebra $CK(\Gamma).$