Geodesic
$I_n$-local Johnson-Wilson spectra and their Hopf algebroids
Documenta mathematica, Tome 5 (2000), pp. 351-364.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider a generalization $\mathcal{E}(n)$ of the Johnson-Wilson spectrum $E(n)$ for which $\mathcal{E}(n)_*$ is a local ring with maximal ideal $I_n$. We prove that the spectra $E(n), \mathcal{E}(n)$ and $\widehat{E(n)}$ are Bousfield equivalent. We also show that the Hopf algebroid $\mathcal{E}(n)_*\mathcal{E}(n)$ is a free $\mathcal{E}(n)_*$-module, generalizing a result of Adams and Clarke for $KU_*KU$.
Classification : 55N20, 55N22
Keywords: Johnson-Wilson spectrum, Hopf algebroid, localization, free module 
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     author = {Baker, Andrew},
     title = {$I_n$-local {Johnson-Wilson} spectra and their {Hopf} algebroids},
     journal = {Documenta mathematica},
     pages = {351--364},
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     volume = {5},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2000__5__a8/}
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Baker, Andrew. $I_n$-local Johnson-Wilson spectra and their Hopf algebroids. Documenta mathematica, Tome 5 (2000), pp. 351-364. http://geodesic.mathdoc.fr/item/DOCMA_2000__5__a8/