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.References
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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
- MR Author ID: 365419
- Email: wud2@psu.edu
- 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
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3709-3716
- MSC (2010): Primary 19D10
- DOI: https://doi.org/10.1090/proc/13584
- MathSciNet review: 3665026