  In this paper, we study the equivariant homotopy type of a connected sum of
linear actions on complex projective planes defined by Hambleton and Tanase.
These actions are constructed for cyclic groups of odd order. We construct
cellular filtrations on the connected sum using spheres inside unitary
representations. A judicious choice of filtration implies a splitting on
equivariant homology for general cyclic groups under a divisibility hypothesis,
and in all cases for those of prime power order.
