The spectrum of the equivariant stable homotopy category of a finite group

被引:0
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作者
Paul Balmer
Beren Sanders
机构
[1] UCLA,Mathematics Department
[2] University of Copenhagen,Department of Mathematical Sciences
来源
Inventiones mathematicae | 2017年 / 208卷
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摘要
We study the spectrum of prime ideals in the tensor-triangulated category of compact equivariant spectra over a finite group. We completely describe this spectrum as a set for all finite groups. We also make significant progress in determining its topology and obtain a complete answer for groups of square-free order. For general finite groups, we describe the topology up to an unresolved indeterminacy, which we reduce to the case of p-groups. We then translate the remaining unresolved question into a new chromatic blue-shift phenomenon for Tate cohomology. Finally, we draw conclusions on the classification of thick tensor ideals.
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页码:283 / 326
页数:43
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