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arXiv · 1609.04654

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

Bernard Badzioch·Wojciech Dorabiala
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Abstract

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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Bernard Badzioch, Wojciech Dorabiala. 2016-09-15. Fixed points of the equivariant algebraic $K$-theory of spaces. https://arxiv.org/abs/1609.04654

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