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Picard groups of higher real $K$-theory spectra at height $p-1$ | | Drew Heard
; Akhil Mathew
; Vesna Stojanoska
; | | Date: |
25 Nov 2015 | | Abstract: | Using the descent spectral sequence for a Galois extension of ring spectra,
we compute the Picard group of the higher real $K$-theory spectra of Hopkins
and Miller at height $n=p-1$, for $p$ an odd prime. More generally, we
determine the Picard groups of the homotopy fixed points spectra $E_n^{hG}$,
where $E_n$ is Lubin-Tate $E$-theory at the prime $p$ and height $n=p-1$, and
$G$ is any finite subgroup of the extended Morava stabilizer group. We find
that these Picard groups are always cyclic, generated by the suspension. | | Source: | arXiv, 1511.8064 | | Services: | Forum | Review | PDF | Favorites | |
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