2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222751For T an abelian compact Lie group, we give a description of T-equivariant K-theory with complex coefficients in terms of equivariant cohomology. In the appendix we give applications of this by extending results of Chang-Skjelbred and Goresky-Kottwitz-MacPherson from equivariant cohomology to equivariant K-theory.20 pages. Appendix co-authored with Allen KnutsonAlgebraic TopologyAlgebraic GeometryK-Theory and Homology55N91text