FIXED POINTS OF THE EQUIVARIANT ALGEBRAIC K-THEORY OF SPACES

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...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2017-09, Vol.145 (9), p.3709-3716
Hauptverfasser: BADZIOCH, BERNARD, DORABIAŁA, WOJCIECH
Format: Artikel
Sprache:eng
Schlagworte:
A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13584