Fixed points of the equivariant algebraic 𝐾-theory of spaces

Badzioch, Bernard; Dorabiała, Wojciech

doi:10.1090/proc/13584

Fixed points of the equivariant algebraic $K$-theory of spaces
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by Bernard Badzioch and Wojciech Dorabiała PDF

Proc. Amer. Math. Soc. 145 (2017), 3709-3716 Request permission

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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