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- W2077004857 abstract "Let G be a compact Lie group, let R G , be a commutative algebra over the sphere G -spectrum S G , and let R be its underlying nonequivariant algebra over the sphere spectrum S . When R G is split as an algebra, as holds, for example, for R G = MU G . we show how to “extend scalars” to construct a split R G -modale M G = R G Λ R M from an R -module M . We also show how to compute the coefficients M ∗ G in terms of the coefficients R ∗ G , R ∗ , and M ∗ . This allows the wholesale construction of highly structured equivariant module spectra from highly structured nonequivariant module spectra. In particular, it applies to construct MU G -modules from MU -modules and therefore gives conceptual constructions of equivariant Brown-Peterson and Morava K -theory spectra." @default.
- W2077004857 created "2016-06-24" @default.
- W2077004857 creator A5043054657 @default.
- W2077004857 date "1998-05-01" @default.
- W2077004857 modified "2023-09-26" @default.
- W2077004857 title "Equivariant and nonequivariant module spectra" @default.
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- W2077004857 doi "https://doi.org/10.1016/s0022-4049(98)00173-x" @default.
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