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


Authors: Bernard Badzioch and Wojciech Dorabiała
Journal: Proc. Amer. Math. Soc. 145 (2017), 3709-3716
MSC (2010): Primary 19D10
DOI: https://doi.org/10.1090/proc/13584
Published electronically: March 27, 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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Additional Information

Bernard Badzioch
Affiliation: Department of Mathematics, State University of New York at Buffalo, Buffalo, New York 14260-2900
Email: badzioch@buffalo.edu

Wojciech Dorabiała
Affiliation: Department of Mathematics, Pennsylvania State University, Altoona, Pennsylvania 16601
Email: wud2@psu.edu

DOI: https://doi.org/10.1090/proc/13584
Received by editor(s): May 25, 2016
Received by editor(s) in revised form: October 6, 2016
Published electronically: March 27, 2017
Communicated by: Michael A. Mandell
Article copyright: © Copyright 2017 American Mathematical Society