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- W2103162411 abstract "Abstract We present a new proof of Anderson's result that the real K -theory spectrum is Anderson self-dual up to a fourfold suspension shift; more strongly, we show that the Anderson dual of the complex K -theory spectrum KU is C 2 -equivariantly equivalent to Σ 4 KU , where C 2 acts by complex conjugation. We give an algebro-geometric interpretation of this result in spectrally derived algebraic geometry and apply the result to calculate 2-primary Gross-Hopkins duality at height 1. From the latter we obtain a new computation of the group of exotic elements of the K (1)-local Picard group." @default.
- W2103162411 created "2016-06-24" @default.
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- W2103162411 date "2014-09-16" @default.
- W2103162411 modified "2023-10-17" @default.
- W2103162411 title "<i>K</i>-theory, reality, and duality" @default.
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- W2103162411 doi "https://doi.org/10.1017/is014007001jkt275" @default.
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