G-spectrum

id: g-spectrum-312-12400323
title: G-spectrum
text: In algebraic topology, a G-spectrum is a spectrum with an action of a (finite) group. Let X be a spectrum with an action of a finite group G. The important notion is that of the homotopy fixed point set X h G . There is always a map from the fixed point spectrum to a homotopy fixed point spectrum. Example: Z / 2 acts on the complex K-theory KU by taking the conjugate bundle of a complex vector bundle. Then K U h Z / 2 = K O , the real K-theory. The cofiber of X h G → X h G is called the Tate spe
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/G-spectrum
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date modified: 2024-03-26T18:29:52Z
main entity: {"identifier":"Q25098885","url":"https://www.wikidata.org/entity/Q25098885"}
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