The K-theory of certain C ∗-algebras endowed with gauge actions

We compute the K-theory of the Toeplitz algebra of a finitely aligned higher rank graph and of a higher rank Exel–Laca algebra under condition (II). Actually we deduce these results from a slightly more general technical theorem for C ∗-algebras endowed with gauge actions and fixed point algebra AF, among other requirements. © 2009 Elsevier Inc. All rights reserved