# On the K-theory of twisted higher-rank-graph C*-algebras

@article{Kumjian2012OnTK,
title={On the K-theory of twisted higher-rank-graph C*-algebras},
author={Alex Kumjian and David Pask and Aidan Sims},
journal={arXiv: Operator Algebras},
year={2012}
}
• Published 7 November 2012
• Mathematics
• arXiv: Operator Algebras
• Mathematics
• 2014
We characterise simplicity of twisted C*-algebras of row-finite k-graphs with no sources. We show that each 2-cocycle on a cofinal k-graph determines a canonical second-cohomology class for the
• Becky Armstrong
• Mathematics
Bulletin of the Australian Mathematical Society
• 2020
In a recent series of papers, Kumjian, Pask and Sims [2–5] have investigated the effect of ‘twisting’ C∗-algebras associated to higher-rank graphs using a categorical 2-cocycle on the graph. This
• Mathematics
• 2014
We characterise simplicity of twisted C � -algebras of row-finite k-graphs with no sources. We show that each 2-cocycle on a cofinal k-graph determines a canonical second-cohomology class for the
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Documenta Mathematica
• 2014
We introduce twisted relative Cuntz-Krieger algebras associated to finitely aligned higher-rank graphs and give a comprehensive treatment of their fundamental structural properties. We establish
• Mathematics
Indiana University Mathematics Journal
• 2022
We introduce the notion of a homotopy of product systems, and show that the Cuntz-Nica-Pimsner algebras of homotopic product systems over N^k have isomorphic K-theory. As an application, we give a
This paper investigates the K-theory of twisted groupoid C*-algebras. It is shown that a homotopy of twists on an ample groupoid satisfying the Baum–Connes conjecture with coefficients gives rise to
This paper continues our investigation into the question of when a homotopy of 2-cocycles on a locally compact Hausdorff groupoid gives rise to an isomorphism of the K-theory groups of the twisted

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