Fixed points of the equivariant algebraic K-theory of spaces

2016/09/15 by Badzioch, Bernard, Dorabiala, Wojciech · 1 citation
#19D10 #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1609.04654

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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