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We study equivariant families of Dirac operators on the source fibers of aLie groupoid with a closed space of units and equipped with an action of anauxiliary compact Lie group. We use the Getzler rescaling method to derive afixed-point formula for the pairing of a trace with the K-theory class of sucha family. For the pair groupoid of a closed manifold, our formula reduces tothe standard fixed-point formula for the equivariant index of a Dirac operator.Further examples involve foliations and manifolds equipped with a normalcrossing divisor.

A fixed-point formula for Dirac operators on Lie groupoids