On the K-theory of higher rank graph C*-algebras
نویسنده
چکیده
Abstract. 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 Kgroups of C(Λ) for k > 2 can be calculated under certain circumstances and we consider the case k = 3. We prove that for arbitrary k, the torsion-free rank of K0(C∗(Λ)) and K1(C∗(Λ)) are equal when C(Λ) is unital, and for k = 2 we determine the position of the class of the unit of C(Λ) in K0(C∗(Λ)).
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