# On higher rank graph C ∗ -algebras

@inproceedings{Evans2000OnHR, title={On higher rank graph C ∗ -algebras}, author={D. Gwion Evans}, year={2000} }

Given a row-finite k-graph Λ with no sources we investigate the K-theory of the higher rank graph C *-algebra, C * (Λ). When k = 2 we are able to give explicit formulae to calculate the K-groups of C * (Λ). The K-groups of C * (Λ) for k > 2 can be calculated under certain circumstances. We state that for all k, the torsion-free rank of K 0 (C * (Λ)) and K 1 (C * (Λ)) are equal when C * (Λ) is unital, and we determine the position of the class of the unit of C * (Λ) in K 0 (C * (Λ)).

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