# The primitive ideals of the Cuntz–Krieger algebra of a row-finite higher-rank graph with no sources ☆

@article{Carlsen2013ThePI, title={The primitive ideals of the Cuntz–Krieger algebra of a row-finite higher-rank graph with no sources ☆}, author={Toke Meier Carlsen and Sooran Kang and J. Arnold Shotwell and Aidan Sims}, journal={Journal of Functional Analysis}, year={2013}, volume={266}, pages={2570-2589} }

## 45 Citations

### Simplicity of twisted C*-algebras of higher-rank graphs and crossed products by quasifree actions

- 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…

### KMS states on the C*-algebra of a higher-rank graph and periodicity in the path space

- Mathematics
- 2014

### The structure of higher rank graph C*-algebras revisited

- Mathematics
- 2014

In this paper, we study a higher rank graph, which has a period group deduced from a natural equivalence relation on its infinite path space. We prove that the C*-algebra generated by the standard…

### GRAPHS AND CROSSED PRODUCTS BY QUASIFREE ACTIONS

- 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…

### Twisted $C^*$-algebras associated to finitely aligned higher-rank graphs

- MathematicsDocumenta 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…

### Von Neumann algebras of strongly connected higher-rank graphs

- Mathematics
- 2014

We investigate the factor types of the extremal KMS states for the preferred dynamics on the Toeplitz algebra and the Cuntz–Krieger algebra of a strongly connected finite $$k$$k-graph. For inverse…

### Monic representations of finite higher-rank graphs

- MathematicsErgodic Theory and Dynamical Systems
- 2020

In this paper, we define the notion of monic representation for the $C^{\ast }$-algebras of finite higher-rank graphs with no sources, and we undertake a comprehensive study of them. Monic…

### Computing the fundamental group of a higher-rank graph

- MathematicsProceedings of the Edinburgh Mathematical Society
- 2021

Abstract We compute a presentation of the fundamental group of a higher-rank graph using a coloured graph description of higher-rank graphs developed by the third author. We compute the fundamental…

### On Hong and Szymański’s Description of the Primitive-Ideal Space of a Graph Algebra

- Mathematics
- 2016

In 2004, Hong and Szymanski produced a complete description of the primitive-ideal space of the C∗-algebra of a directed graph. This article details a slightly different approach, in the simpler…

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