$I_n$-local Johnson-Wilson spectra and their Hopf algebroids
Documenta mathematica, Tome 5 (2000), pp. 351-364
We consider a generalization E(n) of the Johnson-Wilson spectrum E(n) for which E(n)∗ is a local ring with maximal ideal In. We prove that the spectra E(n),E(n) and E(n) are Bousfield equivalent. We also show that the Hopf algebroid E(n)∗E(n) is a free E(n)∗-module, generalizing a result of Adams and Clarke for KU∗KU.
Classification :
55N20, 55N22
Mots-clés : localization, Johnson-Wilson spectrum, Hopf algebroid, free module
Mots-clés : localization, Johnson-Wilson spectrum, Hopf algebroid, free module
@article{10_4171_dm_84,
author = {Andrew Baker},
title = {$I_n$-local {Johnson-Wilson} spectra and their {Hopf} algebroids},
journal = {Documenta mathematica},
pages = {351--364},
year = {2000},
volume = {5},
doi = {10.4171/dm/84},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/84/}
}
Andrew Baker. $I_n$-local Johnson-Wilson spectra and their Hopf algebroids. Documenta mathematica, Tome 5 (2000), pp. 351-364. doi: 10.4171/dm/84
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