Fixed points of the equivariant algebraic K-theory of spaces

Bernard Badzioch; Wojciech Dorabia̷la

doi:10.1090/proc/13584

Fixed points of the equivariant algebraic K-theory of spaces

Bernard Badzioch
, Wojciech Dorabia̷la

Mathematics

Pennsylvania State University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	3709-3716
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	9
DOIs	https://doi.org/10.1090/proc/13584
State	Published - 2017

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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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AB - 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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JF - Proceedings of the American Mathematical Society

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Fixed points of the equivariant algebraic K-theory of spaces

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