Efficient Presentations of Relative Cuntz-Krieger Algebras

2018/04/18 by Clark, Lisa Orloff, Pangalela, Yosafat E. P.
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1804.06591

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.

Related

• Relative Cuntz-Krieger algebras of finitely aligned higher-rank graphs
• Higher-rank graphs and their C*-algebras
• Realising the Toeplitz algebra of a higher-rank graph as a Cuntz-Krieger algebra
• Twisted relative Cuntz-Krieger algebras associated to finitely aligned higher-rank graphs
• When is the Cuntz-Krieger algebra of a higher-rank graph approximately finite-dimensional?