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

@article{Sims2013TwistedA,
  title={Twisted \$C^*\$-algebras associated to finitely aligned higher-rank graphs},
  author={Aidan Sims and Benjamin Whitehead and Michael F. Whittaker},
  journal={Documenta Mathematica},
  year={2013}
}
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 versions of the usual uniqueness theorems and the classification of gauge-invariant ideals. We show that all twisted relative Cuntz-Krieger algebras associated to finitely aligned higher-rank graphs are nuclear and satisfy the UCT, and that for twists that lift to real-valued cocycles, the $K$-theory of… 

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