The derived category of complex periodic K-theory localized at an odd prime
The derived category of complex periodic K-theory localized at an odd prime
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DOI:
10.1016/j.aim.2017.01.023
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发表时间:
2016-03
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通讯作者:
Irakli Patchkoria
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作者:
Irakli Patchkoria
We prove that for an odd prime p, the derived category D (K U (p)) of the p-local complex periodic K-theory spectrum K U (p) is triangulated equivalent to the derived category of its homotopy ring π⁎ K U (p). This implies that if p is an odd prime, the triangulated category D (K U (p)) is algebraic.