Efficient Presentations of Relative Cuntz-Krieger Algebras
Lisa Orloff Clark, Yosafat E. P. Pangalela
TL;DR
This paper introduces a simplified method for analyzing relative Cuntz-Krieger algebras of higher-rank graphs, focusing on edges, and applies it to study ideals and quotients of Toeplitz algebras.
Contribution
It presents a new edge-based approach to relative Cuntz-Krieger algebras, simplifying previous results and enabling applications to Toeplitz algebra structures.
Findings
Simplified analysis of relative Cuntz-Krieger algebras
New insights into ideals and quotients of Toeplitz algebras
Reduced complexity by focusing on edges instead of paths
Abstract
In this article, we present a new method to study relative Cuntz-Krieger algebras for higher-rank graphs. We only work with edges rather than paths of arbitrary degrees. We then use this method to simplify the existing results about relative Cuntz-Krieger algebras. We also give applications to study ideals and quotients of Toeplitz algebras.
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