Stable \(K\)-theory of finite fields
type: Item
instance of: scholarly article
title: Stable \(K\)-theory of finite fields
zbMATH Open document ID: 0929.19002
DOI: 10.1023/A:1007781714000
author: Stanislaw Betley
published in: \(K\)-Theory
publication date: 2000-01-11T00:00:00Z
review text: Let \(R\) be a finite field. It is shown that the stable \(K\)-theory of \(R\) with bifunctor coefficients of finite degree is equal to the topological Hochschild homology of \(R\) with the same coefficients. There is a similar result for cohomology. For general rings, but only for bilinear bifunctors, this result was given by \textit{B. I. Dundas} and \textit{R. McCarthy} [``Stable \(K\)-theory and topological Hochschild homology'', Ann. Math., II. Ser. 140, No. 3, 685-701 (1994; Zbl 0833.55007), and Erratum, ibid. 142, No. 2, 425-426 (1995; Zbl 0839.55003)].
Mathematics Subject Classification ID: 19D55
Mathematics Subject Classification ID: 16E40
Mathematics Subject Classification ID: 18E25
Mathematics Subject Classification ID: 18G10
Mathematics Subject Classification ID: 11T99
zbMATH DE Number: 1332921
zbMATH Keywords: stable \(K\)-theory
zbMATH Keywords: topological Hochschild homology
reviewed by: Richard John Steiner
MaRDI profile type: Publication
full work available at URL: a:1007781714000
OpenAlex ID: W2039766361
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description: scientific article; zbMATH DE number 1332921