Using the Witten deformation and localization algebra techniques, we compute the G‑equivariant K‑homology class of the de Rham operator on a proper cocompact G‑spin manifold, where G is an almost connected Lie group. By applying a G‑invariant Morse–Bott perturbation, this class is localized near the zero set of the perturbation and can be identified explicitly with an element in the representation rings associated to some isotropy subgroups. The result yields an equivariant Poincare–Hopf formula and supplies concise tools for equivariant index computations. This is a joint work with Hang Wang, Zijing Wang and Shaocong Xiang.