等变代数K -空间理论的不动点

arXiv: K-Theory and Homology Pub Date : 2016-09-15 DOI:10.1090/PROC/13584

Bernard Badzioch, Wojciech Dorabiała

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引用次数: 2

摘要

Malkiewich和Merling在最近的一篇文章中提出了具有有限群作用的空间的等变K理论的定义。我们证明了该谱的不动点允许tom dieck型分裂。我们还证明了这种分裂与等变悬架谱的分裂是相容的。这些结果中的第一个是由John Rognes独立得出的。

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Fixed points of the equivariant algebraic $K$-theory of spaces

In a recent work Malkiewich and Merling proposed a definition of the equivariant $K$-theory of spaces for spaces equipped with an action of a finite group. We show that the fixed points of this spectrum admit a tom Dieck-type splitting. We also show that this splitting is compatible with the splitting of the equivariant suspension spectrum. The first of these results has been obtained independently by John Rognes.

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arXiv: K-Theory and Homology

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