Abstract
Equivariant Eilenberg-MacLane spaces are constructed in [1, p. II.13], [3, p. 277], [8, p. 45], however, only for nonempty connected H-fixed point sets for all H⊂G and in the pointed category. This is a reasonable assumption in equivariant homotopy theory (equivariant Posnikov-systems, homology, obstruction theory) but too restrictive for the study of equivariant manifolds. Therefore we develope a treatment of equivariant Eilenberg-MacLane spaces of type one in full generality. They are used, for example, in equivariant L-theory as reference spaces (see [5]) or in [4].
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Lück, W. Equivariant eilenberg maclane spaces K (G, μ, 1) for possibly non-connected or empty fixed point sets. Manuscripta Math 58, 67–75 (1987). https://doi.org/10.1007/BF01169083
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DOI: https://doi.org/10.1007/BF01169083