Quantum lens spaces and graph algebras

We construct the C*-algebra C(L-q(p; m(1),..., m(n))) of continuous functions on the quantum lens space as the fixed point algebra for a suitable action of Z(p) on the algebra C(S-q(2n-1)), corresponding to the quantum odd dimensional sphere. We show that C(L-q(p; m(1),..., m(n))) is isomorphic to the graph algebra C*(L-2n-1((p; m1,..., mn))). This allows us to determine the ideal structure and, at least in principle, calculate the K-groups of C(L-q(p; m(1),..., m(n))). Passing to the limit with natural imbeddings of the quantum lens spaces we construct the quantum infinite lens space, or the quantum Eilenberg-MacLane space of type (Z(p), 1).