A recent computation of Bahri, Franz and Ray identified the equivariant cohomology of weighted projective space with a ring of piecewise polynomials. This talk will report on joint work of Ray and the speaker, on recent developments regarding the equivariant topological K-theory of toric varieties. In particular, we relate the zeroth equivariant K-theory to an appropriate ring of Laurent polynomials, and consider extensions to the odd equivariant K-groups for a restricted class of varieties.