Simple \(C^*\)-algebras associated with compact groups and \(K\)-theory (Q1328285)

The author examines the classification problem of the fixed point algebra \({\mathcal O}_{\lambda(G)}\) of the Cuntz algebra \({\mathcal O}_{L^ 2(G)}\) under the regular action of a compact and metrizable group \(G\). She determines the \(K\)-theory of \({\mathcal O}_{\lambda(G)}\) and the order structure of the \(K_ 0\)-group of a canonical AF \(C^*\)-subalgebra.