Equivariant cohomology with local coefficients (Q2750909)

Let \(G\) be a discrete group and \(X\) a \(G\)-space. The authors show that given a \(G\)-local coefficient system \(M\) on \(X\), then the equivariant cohomology of \(X\) with coefficients in \(M\), as defined by \textit{I. Moerdijk} and \textit{J.-A. Svensson} [Proc. Am. Math. Soc. 118, No. 1, 263-278 (1993; Zbl 0791.55004)], is isomorphic to the Bredon-Illman cohomology of \(X\) as defined in [\textit{A. Mukherjee} and \textit{G. Mukherjee}, Q. J. Math., Oxf., II. Ser. 47, No. 186, 199-219 (1996; Zbl 0858.55005)]. The paper is clear and selfcontained.