The Segal conjecture for smash powers

Author:

Bergsaker Håkon Schad1,Rognes John1

Affiliation:

1. Department of Mathematics University of Oslo Oslo Norway

Abstract

AbstractWe prove that the comparison map from ‐fixed points to ‐homotopy fixed points, for the ‐fold smash power of a bounded below spectrum , becomes an equivalence after ‐completion if is a finite ‐group and is of finite type. We also prove that the map becomes an equivalence after ‐completion if is any finite group and is of finite type, where is the augmentation ideal in the Burnside ring.

Funder

Norges Forskningsråd

Publisher

Wiley

Subject

Geometry and Topology

Reference24 articles.

1. H. S.Bergsaker Higher Singer constructions and the Segal conjecture for smash powers (2015) Norwegian topology meeting Oslo December 3rd 2015.

2. H∞ Ring Spectra and their Applications

3. Equivariant Stable Homotopy and Segal's Burnside Ring Conjecture

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