2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127756The paper constructs the analytic index for an elliptic pseudodifferential family of $L^{m}_{ρ,\de}$-operators invariant under the proper action of a continuous family groupoid on a $G$-compact, $C^{\infty,0}$ $G$-space.Operator AlgebrasK-Theory and Homology19K35The equivariant analytic index for proper groupoid actionstext