Product-system models for twisted C⁎-algebras of topological higher-rank graphs
@article{Armstrong2017ProductsystemMF, title={Product-system models for twisted C⁎-algebras of topological higher-rank graphs}, author={Becky Armstrong and Nathan Brownlowe}, journal={Journal of Mathematical Analysis and Applications}, year={2017} }
3 Citations
Simplicity of twisted C*-algebras of Deaconu--Renault groupoids
- Mathematics
- 2021
We consider Deaconu–Renault groupoids associated to actions of finite-rank free abelian monoids by local homeomorphisms of locally compact Hausdorff spaces. We study simplicity of the twisted…
Iterating the Cuntz-Nica-Pimsner construction for compactly aligned product systems
- Mathematics
- 2017
In this article we study how decompositions of a quasi-lattice ordered group $(G,P)$ relate to decompositions of the Nica-Toeplitz algebra $\mathcal{NT}_\mathbf{X}$ and Cuntz-Nica-Pimsner algebra…
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Let (G,P) be a quasi-lattice ordered group and let X be a compactly aligned product system over P of Hilbert bimodules. Under mild hypotheses we associate to X a C*-algebra which we call the…
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We introduce a homology theory for k-graphs and explore its fundamental properties. We establish connections with algebraic topology by showing that the homol- ogy of a k-graph coincides with the…
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