On the cohomology of algebraic K-spectra over finite fields
type: Item
instance of: scholarly article
title: On the cohomology of algebraic K-spectra over finite fields
zbMATH Open document ID: 0532.55022
author: Koichi Hirata
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1983-01-01T00:00:00Z
review text: The purpose of this paper is to determine the mod p cohomology group of the homotopy fiber of \(\phi:bu_{\Lambda}\to bu_{\Lambda}\), where \(bu_{\Lambda}\) is the spectrum which represents (-1)-connected complex K-theory, endowed with coefficients \(\Lambda\). Especially, if \(\phi =1- \psi^ q\), the homotopy fiber is the spectrum representing the algebraic K-theory for a finite field \(F_ q\) localized at p.
Mathematics Subject Classification ID: 55S25
Mathematics Subject Classification ID: 55T20
Mathematics Subject Classification ID: 18F25
Mathematics Subject Classification ID: 55N22
Mathematics Subject Classification ID: 55S45
Mathematics Subject Classification ID: 55S10
zbMATH DE Number: 3844639
zbMATH Keywords: cohomology of algebraic K-spectra over finite fields
zbMATH Keywords: homotopy fiber
zbMATH Keywords: spectral sequence
zbMATH Keywords: Postnikov system
zbMATH Keywords: Adams splitting
zbMATH Keywords: Adams operations
zbMATH Keywords: (-1)-connected complex K-theory
reviewed by: Hansueli Hösli
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195182449
OpenAlex ID: W1997165098
cites work: Infinite Loop Spaces (AM-90)
cites work: Uniqueness of BSO
cites work: Homology of classical groups over finite fields and their associated infinite loop spaces
cites work: On the cohomology and K-theory of the general linear groups over a finite field
DOI: 10.2977/PRIMS/1195182449
description: scientific article; zbMATH DE number 3844639