等变可交换环谱上模的g对称单一性范畴

IF 0.8 Q2 MATHEMATICS Tunisian Journal of Mathematics Pub Date : 2015-11-23 DOI:10.2140/tunis.2020.2.237
A. Blumberg, M. Hill
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引用次数: 19

摘要

我们描述了在某些等变交换环谱上的等变模范畴上出现的乘法结构。基于我们之前对n -无穷环光谱的研究,我们构建了n -无穷环上由等变线性等距操作数构成的等变操作模的类别。这些模的范畴被赋予了等变对称一元结构,相当于“同局部范畴中的不完全Mackey函子”的结构。特别地,我们构造了满足双陪集公式的内模。我们认为本文的工作是迈向等变代数几何的第一步。
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G-symmetric monoidal categories of modules over equivariant commutative ring spectra
We describe the multiplicative structures that arise on categories of equivariant modules over certain equivariant commutative ring spectra. Building on our previous work on N-infinity ring spectra, we construct categories of equivariant operadic modules over N-infinity rings that are structured by equivariant linear isometries operads. These categories of modules are endowed with equivariant symmetric monoidal structures, which amounts to the structure of an "incomplete Mackey functor in homotopical categories". In particular, we construct internal norms which satisfy the double coset formula. We regard the work of this paper as a first step towards equivariant derived algebraic geometry.
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来源期刊
Tunisian Journal of Mathematics
Tunisian Journal of Mathematics Mathematics-Mathematics (all)
CiteScore
1.70
自引率
0.00%
发文量
12
期刊最新文献
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