Higher localised $\widehat{A}$-genera: a note on disconnected fixed-point sets

For a proper cocompact action of a finitely generated discrete group $\mathrm{\Gamma }$ on a spin manifold $M$, the higher localised $\widehat{A}$-genera ${\widehat{A}}_g(M,\omega )$ introduced earlier by the author and Mathai were shown to be an obstruction to $\mathrm{\Gamma }$-invariant metrics of positive scalar curvature, for $\omega$ arising from the subring of $H^{\ast }(\underset{‾}{B}\mathrm{\Gamma },\mathbb{R})$ generated by elements of degree at most $2$, under the assumptions that the fixed-point set $M^g$ is connected and that $g$ is regular with respect to a certain real group $2$-cocycle. We show that both assumptions can be dropped.