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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