# Twisted relative Cuntz-Krieger algebras associated to finitely aligned higher-rank graphs

@article{Whitehead2013TwistedRC, title={Twisted relative Cuntz-Krieger algebras associated to finitely aligned higher-rank graphs}, author={Benjamin Whitehead}, journal={arXiv: Operator Algebras}, year={2013} }

To each finitely aligned higher-rank graph $\Lambda$ and each $\mathbb{T}$-valued 2-cocycle on $\Lambda$, we associate a family of twisted relative Cuntz-Krieger algebras. We show that each of these algebras carries a gauge action, and prove a gauge-invariant uniqueness theorem. We describe an isomorphism between the fixed point algebras for the gauge actions on the twisted and untwisted relative Cuntz-Krieger algebras. We show that the quotient of a twisted relative Cuntz-Krieger algebra by a…

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